AnswersTX-Advanced Quantitative ReasoningExponential and Logistic Functions

Exponential and Logistic Functions — Unit test Answers

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1
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Solve the inequality graphically.a.c.b.d.

Question illustration
A
A
B
B
C
C
D
D
2
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Decide if the function is an exponential growth function or exponential decay function, and describe its end behavior using limits.

Question illustration
A
Exponential growth function
B
Exponential growth function
C
Exponential decay function
D
Exponential decay function
3

The function f(x) is to be graphed on a coordinate plane.f(x) = At what point should an open circle be drawn?

Question illustration
A
(–1, 0)
B
(0, 0)
C
(0, 1)
D
(1, 0)
4

A function, h(x), is defined as shown.h(x) = Which graph represents h(x)?

Question illustration
A
Option
B
Option
C
Option
D
Option
5

Find the first four iterates of the function f(x) = (x - 5)2 with an initial value of x0 = 4.

A
4; 19; 645; 12,645
B
1; 16; 121; 13,456
C
1; 19; 645; 12,645
D
4; 16; 121; 13,456
6

Find the first three iterates of the function with an initial value of . If necessary, round your answers to the nearest hundredth.

Question illustration
A
13; 175; 20,933
B
13; 173; 29,967
C
13; 173; 19,933
D
13; 173; 29,933
7

Graph the function. Describe its position relative to the graph of the indicated basic function.; relative to a.c.b.d.

Question illustration
A
A
B
B
C
C
D
D
8

Find the first three iterates of the function f(z) = 2z + (3 - 2i) with an initial value of z0 = 1 + 2i.

A
5 + 2i, 13 + 2i, 29 + 2i
B
3 + 2i, 17 + 2i, 23 + 2i
C
5 - 2i, 13 - 2i, 29 - 2i
D
3 - 2i, 17 - 2i, 23 - 2i
9

A piecewise function is represented by the graph below.

Question illustration
A
x < –1
B
–1 ≤ x ≤ 1
C
1 ≤ x < 2
D
x > 1
10

The graph of a function is shown.

Question illustration
A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) =
Option C
D
f(x) =
Option D
12

Brenton’s weekly pay, P(h) , in dollars, is a function of the number of hours he works, h. He gets paid $20 per hour for the first 40 hours he works in a week. For any hours above that, he is paid overtime at $30 per hour. He is not permitted to work more than 60 hours in a week.

A
{h| 0 ≤ h ≤ 40}
B
{h| 0 ≤ h ≤ 60}
C
{P(h)| 0 ≤ P(h) ≤ 1,400}
D
{P(h)| 0 ≤ P(h) ≤ 1,800}
13

The piecewise function h(x) is shown on the graph.

Question illustration
A
−2
B
−1
C
0
D
3
14

The population model describing the population of antelope in an area is: The maximum population sustainable in the area is 135, and the current population is 89. Find the population of antelope after each of the first ten years. Be sure to round to the nearest whole number before each calculation.

Question illustration
A
101, 110, 116, 121, 125, 128, 130, 131, 132, 133
B
135, 135, 135, 135, 135, 135, 135, 135, 135, 135
C
89, 101, 110, 116, 121, 125, 128, 130, 131, 132
D
121, 135, 136, 135, 135, 135, 135, 135, 135, 135
15

Compute the exact value of the function for the given x-value without using a calculator. for x = 3

Question illustration
A
216
B
18
C
46,656
D
729
16

Solve the inequality graphically.a.c.b.d.

Question illustration
A
A
B
B
C
C
D
D
17

The piecewise function f(x) has opposite expressions.f(x) = Which is the graph of f(x)?

Question illustration
A
Option
B
Option
C
Option
D
Option
18

Decide if the function is an exponential function. If it is, state the initial value and the base.

Question illustration
A
Exponential functionbase = 2initial value = 0
B
Not an exponential function
C
Exponential functionbase = xinitial value = 1
D
Exponential functionbase = 3xinitial value = 0
19

Decide if the function is an exponential function. If it is, state the initial value and the base.

Question illustration
A
Exponential functionbase = -19.2initial value = 1
B
Exponential functionbase = xinitial value = -4.8
C
Not an exponential function
D
Exponential functionbase = 4initial value = -4.8
20

The graph of the piecewise function f(x) is shown.

Question illustration
A
{x | −2 ≤ x < 4}
B
{x | −2 < x ≤ 4}
C
{y | −5 < y < −1}
D
{y | −5 ≤ y ≤ −1}

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