Find the domain of the exponential function shown.

− 3 ≤ x ≤ 5 -3\le x\le5 − 3 ≤ x ≤ 5

− 3 < x < 5 -3<x<5 − 3 < x < 5

− 3 < y < 5 -3<y<5 − 3 < y < 5

− 3 ≤ y ≤ 5 -3\le y\le5 − 3 ≤ y ≤ 5

Find the range of the exponential function shown.

10 ≤ y ≤ 60 10\le y\le60 1 0 ≤ y ≤ 6 0

10 ≤ x ≤ 60 10\le x\le60 1 0 ≤ x ≤ 6 0

10 < x < 60 10<x<60 1 0 < x < 6 0

10 ≤ x ≤ 60 10\le x\le60 1 0 ≤ x ≤ 6 0

Write the equation of the exponential function shown on the table.

y = 16 ( 2 ) x y\ =\ 16\left(2\right)^x y = 1 6 ( 2 ) x

y = 16 ( 1 2 ) x y\ =\ 16\left(\frac{1}{2}\right)^x y = 1 6 ( 2 1 ) x

y = 8 ( 1 2 ) x y\ =\ 8\ \left(\frac{1}{2}\right)^x y = 8 ( 2 1 ) x

y = 8 ( 2 ) x y\ =\ 8\left(2\right)^x y = 8 ( 2 ) x

Write the equation of the exponential function shown in the table.

y = 30 ( 0.7 ) x y\ =\ 30\left(0.7\right)^x y = 3 0 ( 0 . 7 ) x

y = 30 ( 10 7 ) x y\ =\ 30\left(\frac{10}{7}\right)^x y = 3 0 ( 7 1 0 ) x

y = 21 ( 0.7 ) x y\ =\ 21\left(0.7\right)^x y = 2 1 ( 0 . 7 ) x

y = 21 ( 10 7 ) x y\ =\ 21\left(\frac{10}{7}\right)^x y = 2 1 ( 7 1 0 ) x

Write the equation of the exponential function shown in the graph.

y = 30 ( 2 3 ) x y\ =\ 30\left(\frac{2}{3}\right)^x y = 3 0 ( 3 2 ) x

y = 2 3 x + 30 y\ =\ \frac{2}{3}x\ +\ 30 y = 3 2 x + 3 0

y = 30 ( 3 2 ) x y\ =\ 30\left(\frac{3}{2}\right)^x y = 3 0 ( 2 3 ) x

y = 3 2 x + 30 y\ =\ \frac{3}{2}x\ +30 y = 2 3 x + 3 0

The population of Prosper is 289 in 1970. Write the equation to represent the population when x represents the years after 1970 if the population grew at a rate of 17.5% each year.

y = 289 ( 1.175 ) x y\ =\ 289\left(1.175\right)^x y = 2 8 9 ( 1 . 1 7 5 ) x

y = 289 ( 0.825 ) x y\ =\ 289\left(0.825\right)^x y = 2 8 9 ( 0 . 8 2 5 ) x

y = 289 ( 18.5 ) x y\ =\ 289\left(18.5\right)^x y = 2 8 9 ( 1 8 . 5 ) x

y = 1.175 ( 289 ) x y\ =\ 1.175\left(289\right)^x y = 1 . 1 7 5 ( 2 8 9 ) x

The population of Winniford in1970 was 4,500 people and decreased at a rate of 8% each year. Write a function to represent this situation where x represents the years after 1970.

y = 4500 ( 0.92 ) x y\ =\ 4500\left(0.92\right)^x y = 4 5 0 0 ( 0 . 9 2 ) x

y = 1970 ( 8 ) x y\ =\ 1970\left(8\right)^x y = 1 9 7 0 ( 8 ) x

y = 4500 ( 0.08 ) x y\ =\ 4500\left(0.08\right)^x y = 4 5 0 0 ( 0 . 0 8 ) x

y = 4500 ( 8 ) x y\ =\ 4500\left(8\right)^x y = 4 5 0 0 ( 8 ) x

Exponential Functions Review

Authored by Dawn Blackwell

Mathematics

8th - 10th Grade

CCSS covered

Used 30+ times

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22 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$f\left(x\right)=2\cdot\left(0.4\right)^x$ , what is the y-intercept of $f\left(x\right)$ ?

0.4

0.8

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

1 min • 1 pt

$f\left(x\right)=2\cdot\left(0.4\right)^x$ , what is the asymptote of $f\left(x\right)$ ?

$x\ =\ 2$

$y\ =\ 2$

$x\ =\ 0$

$y\ =\ 0$

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$g\left(x\right)\ =\ -3\cdot\left(1.5\right)^x$ , what is the y-intercept of $g\left(x\right)$ ?

-3

1.5

-4.5

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

1 min • 1 pt

$g\left(x\right)\ =\ -3\cdot\left(1.5\right)^x$ , what is the asymptote of $g\left(x\right)$ ?

$x\ =\ -3$

$y\ =\ -3$

$y\ =\ 0$

$x\ =\ 0$

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Isabel plans to graph the exponential function $y\ =\ 9\left(\frac{2}{3}\right)^x$ . Determine if the "Isabel's graph will increase from left to right" is true or false.

True

False

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Isabel plans to graph the exponential function $y\ =\ 9\left(\frac{2}{3}\right)^x$ . Determine if the "Isabel's graph will have a y-intercept of (0, 9)" is true or false.

True

False

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Isabel plans to graph the exponential function $y\ =\ 9\left(\frac{2}{3}\right)^x$ . Determine if the "As x increases, the y-values on Isabel's graph will approach 0" is true or false.

True

False

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Isabel plans to graph the exponential function $y\ =\ 9\left(\frac{2}{3}\right)^x$ . Determine if the "Isabel's graph will have an asymptote of x = 0" is true or false.

True

False

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Isabel plans to graph the exponential function $y\ =\ 9\left(\frac{2}{3}\right)^x$ . Determine if the "Isabel's graph will have an x-intercept of $\left(\frac{2}{3},0\right)$ " is true or false.

True

False

Tags

CCSS.HSF-IF.C.7E

10.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation represents the graph?

$f\left(x\right)=10\left(1.4\right)^x$

$f\left(x\right)=10\left(2.5\right)^x$

$f\left(x\right)=10\left(0.6\right)^x$

$f\left(x\right)\ =\ -10\left(1.5\right)^x$

$f\left(x\right)\ =\ -10\left(0.5\right)^x$

Tags

CCSS.HSF.LE.A.2

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Exponential Functions Review

f(x)=2⋅(0.4)xf\left(x\right)=2\cdot\left(0.4\right)^xf(x)=2⋅(0.4)x , what is the y-intercept of f(x)f\left(x\right)f(x) ?

f(x)=2⋅(0.4)xf\left(x\right)=2\cdot\left(0.4\right)^xf(x)=2⋅(0.4)x , what is the asymptote of f(x)f\left(x\right)f(x) ?

g(x) = −3⋅(1.5)xg\left(x\right)\ =\ -3\cdot\left(1.5\right)^xg(x) = −3⋅(1.5)x , what is the y-intercept of g(x)g\left(x\right)g(x) ?

g(x) = −3⋅(1.5)xg\left(x\right)\ =\ -3\cdot\left(1.5\right)^xg(x) = −3⋅(1.5)x , what is the asymptote of g(x)g\left(x\right)g(x) ?

Isabel plans to graph the exponential function y = 9(23)xy\ =\ 9\left(\frac{2}{3}\right)^xy = 9(32​)x . Determine if the "Isabel's graph will increase from left to right" is true or false.

Isabel plans to graph the exponential function y = 9(23)xy\ =\ 9\left(\frac{2}{3}\right)^xy = 9(32​)x . Determine if the "Isabel's graph will have a y-intercept of (0, 9)" is true or false.

Isabel plans to graph the exponential function y = 9(23)xy\ =\ 9\left(\frac{2}{3}\right)^xy = 9(32​)x . Determine if the "As x increases, the y-values on Isabel's graph will approach 0" is true or false.

Isabel plans to graph the exponential function y = 9(23)xy\ =\ 9\left(\frac{2}{3}\right)^xy = 9(32​)x . Determine if the "Isabel's graph will have an asymptote of x = 0" is true or false.

Isabel plans to graph the exponential function y = 9(23)xy\ =\ 9\left(\frac{2}{3}\right)^xy = 9(32​)x . Determine if the "Isabel's graph will have an x-intercept of (23,0)\left(\frac{2}{3},0\right)(32​,0) " is true or false.

Which equation represents the graph?

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$f\left(x\right)=2\cdot\left(0.4\right)^x$ , what is the y-intercept of $f\left(x\right)$ ?

$f\left(x\right)=2\cdot\left(0.4\right)^x$ , what is the asymptote of $f\left(x\right)$ ?

$g\left(x\right)\ =\ -3\cdot\left(1.5\right)^x$ , what is the y-intercept of $g\left(x\right)$ ?

$g\left(x\right)\ =\ -3\cdot\left(1.5\right)^x$ , what is the asymptote of $g\left(x\right)$ ?

Isabel plans to graph the exponential function $y\ =\ 9\left(\frac{2}{3}\right)^x$ . Determine if the "Isabel's graph will increase from left to right" is true or false.

Isabel plans to graph the exponential function $y\ =\ 9\left(\frac{2}{3}\right)^x$ . Determine if the "Isabel's graph will have a y-intercept of (0, 9)" is true or false.

Isabel plans to graph the exponential function $y\ =\ 9\left(\frac{2}{3}\right)^x$ . Determine if the "As x increases, the y-values on Isabel's graph will approach 0" is true or false.

Isabel plans to graph the exponential function $y\ =\ 9\left(\frac{2}{3}\right)^x$ . Determine if the "Isabel's graph will have an asymptote of x = 0" is true or false.

Isabel plans to graph the exponential function $y\ =\ 9\left(\frac{2}{3}\right)^x$ . Determine if the "Isabel's graph will have an x-intercept of $\left(\frac{2}{3},0\right)$ " is true or false.