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E1 (5316620)

Due:

Sun Feb 2 2014 11:59 PM AKST

Question

1.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

Question Details

SC alc7 1.1.002. [1805706]

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SC alc7 1.1.007. [1875326]

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If 2 f(x) = x − 2x x−2

and

g(x) = x

is it true that f = g? Yes No

2.

Question Details

Consider the following graph.

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Determine whether the curve is the graph of a function of x. Yes, it is a function. No, it is not a function.

If it is, state the domain and range of the function. (Enter your answers in interval notation. If the curve is not the graph of a function of x, enter DNE.) domain range

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3.

Question Details

SC alc7 1.1.014. [1804948]

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Three runners compete in a 100-meter race. The graph depicts the distance run as a function of time for each runner. Describe in words what the graph tells you about this race.

Who won the race? runner A runner B runner C

Did each runner finish the race? Yes No

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4.

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SC alc7 1.1.025. [1874646]

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SC alc7 1.1.028.MI. [1875027]

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If f(x) = 2x2 − x + 3, find the following. f(3) =

18

f(−3) =

24

f(a) = f(−a) = f(a + 1) = 2f(a) = f(2a) = f(a2) = [f(a)]2 = f(a + h) =

5.

Question Details

Evaluate the difference quotient for the given function. Simplify your answer. f(x) = −x3,

f(a + h) − f(a) h

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6.

Question Details

SC alc7 1.1.029. [1874662]

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SC alc7 1.1.031. [1874817]

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SC alc7 1.1.032. [1874869]

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Evaluate the difference quotient for the given function. Simplify your answer. f(x) =

7.

1 , x

f(x) − f(a) x−a

Question Details

Find the domain of the function. (Enter your answer using interval notation.) f(x) =

8.

x+4 x2 − 49

Question Details

Find the domain of the function. (Enter your answer using interval notation.) f(x) =

3x3 − 1 x2 + 2x − 3

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9.

Question Details

SC alc7 1.1.033. [1874677]

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SC alc7 1.1.035. [1874400]

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SC alc7 1.1.044. [1874387]

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Find the domain of the function. (Enter your answer using interval notation.) f(t) =

10.

3

2t − 9

Question Details

Find the domain of the function. (Enter your answer in interval notation.) h(x) =

11.

1 4

x2 − 8x

Question Details

Find the domain of the function. (Enter your answer using interval notation.) F(x) = |3x + 2|

Sketch the graph of the function.

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12.

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Question Details

SC alc7 1.1.045. [1874503]

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Find the domain of the function. (Enter your answer using interval notation.) G(x) =

5x + |x| x

Sketch the graph of the function.

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Question Details

SC alc7 1.1.047. [1874497]

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Find the domain of the function. (Enter your answer using interval notation.) f(x) =

x + 4 1 − x

if x < 0 if x ≥ 0

Sketch the graph of the function.

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14.

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Question Details

SC alc7 1.1.051. [1875235]

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Find an expression for the function whose graph is the given curve. (Assume that the points are in the form (x, f(x)).) The line segment joining the points (3, −1), and (7, 9) f(x) =

Find the domain of the function. (Enter your answer using interval notation.)

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Question Details

SC alc7 1.1.054. [1874458]

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SC alc7 1.1.057. [1874789]

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Find an expression for the function whose graph is the given curve. The top half of the circle x2 + (y − 3)2 = 1 y =

16.

Question Details

Find a formula for the described function. A rectangle has perimeter 16 m. Express the area A of the rectangle as a function of the length, L, of one of its sides. A=

m2

State the domain of A. (Assume the length of the rectangle is longer than its width. Enter your answer in interval notation.)

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17.

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Question Details

SC alc7 1.1.059. [1874347]

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SC alc7 1.1.061. [1874351]

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Find a formula for the described function. Express the area of an equilateral triangle as a function of the length of a side x. A(x) =

State the domain of A. (Enter your answer using interval notation.)

18.

Question Details

Find a formula for the described function. An open rectangular box with volume 9 m3 has a square base. Express the surface area SA of the box as a function of the length of a side of the base, x. SA =

m2

State the domain of SA. (Enter your answer in interval notation.)

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Question Details

SC alc7 1.1.062. [1874648]

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A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 28 ft, express the area A of the window as a function of the width x of the window. A(x) =

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20.

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Question Details

SC alc7 1.1.063. [1874669]

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A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 18 in. by 30 in. by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function of x. V(x) =

21.

Question Details

SC alc7 1.1.069. [1874507]

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Graphs of f and g are shown.

Is f even, odd, or neither?

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even odd neither

Explain your reasoning. It is symmetric about the origin. It is symmetric with respect to the y-axis. It is symmetric with respect to the x-axis. It is not symmetric about the origin or the y-axis.

Is g even, odd, or neither? even odd neither

Explain your reasoning. It is symmetric about the origin. It is symmetric with respect to the y-axis. It is symmetric with respect to the x-axis. It is not symmetric about the origin or the y-axis.

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22.

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Question Details

SC alc7 1.1.071. [1875329]

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(a) If the point (5, 3) is on the graph of an even function, what other point must also be on the graph? (x, y) =

(b) If the point (5, 3) is on the graph of an odd function, what other point must also be on the graph? (x, y) =

23.

Question Details

SC alc7 1.1.073. [1874603]

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Determine whether f is even, odd, or neither. If you have a graphing calculator, use it to check your answer visually. f(x) =

x x2 + 4

even odd neither

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Question Details

SC alc7 1.1.075. [1875197]

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Determine whether f is even, odd, or neither. If you have a graphing calculator, use it to check your answer visually. f(x) =

x x+7

even odd neither

25.

Question Details

SC alc7 1.1.076. [1875304]

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Determine whether f is even, odd, or neither. If you have a graphing calculator, use it to check your answer visually. f(x) = x|x| even odd neither

26.

Question Details

SC alc7 1.1.501.XP. [1874500]

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The graph shown gives a salesman's distance from his home as a function of time on a certain day. Describe in words what the graph indicates about his travels on this day.

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At 8:00 A.M. the salesman is ---Select---

at home .

From 8:00 A.M. until 9:00 A.M. the salesman is ---Select---

traveling away from home .

From 9:00 A.M. until 10:00 A.M. the salesman is ---Select---

stationary .

From 10:00 A.M. until noon the salesman is ---Select---

traveling away from home .

From noon until 1:00 P.M. the salesman is ---Select---

stationary .

From 1:00 P.M. until 3:00 P.M. the salesman is ---Select---

traveling toward home .

From 3:00 P.M. until 5:00 P.M. the salesman is ---Select---

traveling away from home .

From 5:00 P.M. until 6:00 P.M. the salesman is ---Select---

stationary .

From 6:00 P.M. until 7:00 P.M. the salesman is ---Select---

traveling toward home .

At 7:00 P.M. the salesman is ---Select---

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at home .

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Question Details

SC alc7 1.1.503.XP. [1875008]

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SC alc7 1.1.505.XP. [1874732]

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SC alc7 1.1.508.XP. [1874754]

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Find the domain of the function. (Enter your answer using interval notation.) f(t) =

28.

t +

3

t

Question Details

Find the domain of the function. (Enter your answer using interval notation.) f(x) = 7

29.

Question Details

Find the domain of the function. (Enter your answer using interval notation.) g(x) =

|x| x2

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Question Details

SC alc7 1.1.JIT.009.MI. [1805604]

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Find the domain of the function. g(x) =

x 9x2 + 8x − 1

(- ∞, ∞) [0, 1/9) ∪ (1/9, ∞) (- ∞, -1/9) ∪ (1/9, ∞) (- ∞, -1) ∪ (9, ∞) [0, 9) ∪ (9, ∞)

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Name (AID): E1 (5316620)

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