AnswersTX-Advanced Quantitative ReasoningExponential and Logistic Functions

Exponential and Logistic Functions — Unit test Answers

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

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Decide if the function is an exponential growth function or exponential decay function, and describe its end behavior using limits.a.Exponential growth functionc.Exponential decay functionb.Exponential growth functiond.Exponential decay function

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

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(–1, 0)
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(0, 0)
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(0, 1)
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(1, 0)
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A function, h(x), is defined as shown.h(x) = Which graph represents h(x)?

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Option
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Option
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Option
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Option
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Find the first four iterates of the function f(x) = (x - 5)2 with an initial value of x0 = 4.a.4; 19; 645; 12,645c.1; 19; 645; 12,645b.1; 16; 121; 13,456d.4; 16; 121; 13,456

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Find the first three iterates of the function with an initial value of . If necessary, round your answers to the nearest hundredth. a. 13; 175; 20,933 c. 13; 173; 19,933 b. 13; 173; 29,967 d. 13; 173; 29,933 Please select the best answer from the choices provided

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

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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 + 2ic.5 - 2i, 13 - 2i, 29 - 2ib.3 + 2i, 17 + 2i, 23 + 2id.3 - 2i, 17 - 2i, 23 - 2i

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A piecewise function is represented by the graph below.

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x < –1
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–1 ≤ x ≤ 1
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1 ≤ x < 2
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x > 1
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The graph of a function is shown.

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f(x) =
Option A
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f(x) =
Option B
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f(x) =
Option C
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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.

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{h| 0 ≤ h ≤ 40}
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{h| 0 ≤ h ≤ 60}
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{P(h)| 0 ≤ P(h) ≤ 1,400}
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{P(h)| 0 ≤ P(h) ≤ 1,800}
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The piecewise function h(x) is shown on the graph.

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−2
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−1
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0
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3
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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. a. 101, 110, 116, 121, 125, 128, 130, 131, 132, 133 c. 89, 101, 110, 116, 121, 125, 128, 130, 131, 132 b. 135, 135, 135, 135, 135, 135, 135, 135, 135, 135 d. 121, 135, 136, 135, 135, 135, 135, 135, 135, 135 Please select the best answer from the choices provided

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Compute the exact value of the function for the given x-value without using a calculator. for x = 3a.216c.46,656b.18d.729

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

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

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Option
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Option
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Option
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Option
18

Decide if the function is an exponential function. If it is, state the initial value and the base.a.Exponential functionbase = 2initial value = 0c.Exponential functionbase = xinitial value = 1b.Not an exponential functiond.Exponential functionbase = 3xinitial value = 0

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Decide if the function is an exponential function. If it is, state the initial value and the base.a.Exponential functionbase = -19.2initial value = 1c.Not an exponential functionb.Exponential functionbase = xinitial value = -4.8d.Exponential functionbase = 4initial value = -4.8

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20

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

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

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