Let h be an exponential function defined by $$h\left(x\right)=5\left(\frac{\pi}{3}\right)^x$$ . Which of the following statements is correct?

h is increasing and the graph of h is concave up

h is increasing and the graph of h is concave down

h is decreasing and the graph of h is concave up

h is decreasing and the graph of h is concave down

The function k is a function of the form $$k\left(x\right)=a\cdot b^x$$ , where $$a\ne0\ and\ b>0$$ . The function j is given by $$j\left(x\right)=k\left(x\right)+3$$ . Which of the following statements is true?

The output values of k only, not j, are proportional over equal length input value intervals

The output values of both j and k are proportional over equal length input value intervals

The output values of j only, not k, are proportional over equal length input value intervals

The output values of neither j nor k are proportional over equal length input value intervals

The function g is a function of the form $$g\left(x\right)=a\cdot b^x$$ , where $$a\ne0\ and\ b>1$$ . The function g is also given by $$g\left(x\right)=f\left(x\right)+5$$ . Which of the following statements is true?

The output values of g only, not f, are proportional over equal length input value intervals

The output values of both f and g are proportional over equal length input value intervals

The output values of f only, not g, are proportional over equal length input value intervals

The output values of neither f nor g are proportional over equal length input value intervals

2.3: Exponential Functions

11th Grade

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Practice Problem

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Easy

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CCSS

HSF-IF.C.7E, HSF.LE.A.2, HSF-IF.C.8B

Standards-aligned

Cayley Garrison

Used 4+ times

FREE Resource

13 questions

Show all answers

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The graph of the exponential function h is shown. Which of the following could be the expression for h?

Tags

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

g is increasing at an increasing rate

g is increasing at an decreasing rate

g is decreasing at an increasing rate

g is decreasing at an decreasing rate

Tags

CCSS.HSF.LE.B.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

f is increasing at an increasing rate

f is increasing at an decreasing rate

f is decreasing at an increasing rate

f is decreasing at an decreasing rate

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The exponential function k exhibits exponential decay. Which of the following could be k?

Tags

CCSS.HSF-IF.C.8B

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSF-IF.C.7E

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