Parts of Exponential Equations

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•

Mathematics

•

9th - 12th Grade

•

Hard

Joseph Anderson

FREE Resource

4 Slides • 15 Questions

Equations of Exponential Functions

Equations of Exponential Functions

$f\left(x\right)=a\left(b\right)^x$
a: represents the y-intercept (0,a)
b: represents the base
Exponential Growth: if base is greater than 1, the graph will be increasing
Exponential Decay: if base is less than 1, the graph will be decreasing

Example

f\left(x\right)=4\left(5\right)^x

y-intercept: (0,4)
base: 5
exponential growth because the base 5 is greater than 1

Example

g\left(x\right)=2\left(\frac{1}{3}\right)^x

y-intercept: (0,2)
base: 1/3
exponential decay because the base 1/3 is less than 1

Multiple Choice

Is the pictured graph growth, decay, or linear or none?

Exponential Growth

Exponential Decay

Linear

None

Multiple Choice

Is the function an example of exponential growth or decay?

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

Exponential Growth

Exponential Decay

Multiple Choice

Is the function an example of exponential growth or decay?

f\left(x\right)=7\left(\frac{2}{3}\right)^x

Exponential Growth

Exponential Decay

Multiple Choice

Is this an example of exponential growth or decay?

Exponential Growth

Exponential Decay

Multiple Choice

Is the function an example of exponential growth or decay?

f\left(x\right)=2\left(\frac{5}{4}\right)^x

Exponential Growth

Exponential Decay

Multiple Choice

Pick the equation that is exponential decay

$f\left(x\right)=200\left(0.88\right)^x$

$g\left(x\right)=5\left(1.88\right)^x$

Multiple Choice

Pick the equation that is exponential growth

f(x )=2(0.5)^x

g(x) = 0.5(2)^x

Multiple Choice

What type of function is

f\left(x\right)=2\left(\frac{1}{7}\right)^x

Exponential Growth

Linear

Exponential Decay

None of the Above

Multiple Choice

Is this exponential growth or decay?

Growth

Decay

Multiple Choice

What is the y-intercept represented by the equation e(x) = 10(5)^x

(0,5)

(5,0)

(10,0)

(0,10)

Multiple Choice

What is the y-intercept represented by the equation

f\left(x\right)=3\left(7\right)^x

(0,3)

(3,0)

(7,0)

(0,7)

Multiple Choice

What is the y-intercept represented by the equation

f\left(x\right)=\frac{1}{3}\left(2\right)^x

(0,2)

(0,1/3)

(1/3,0)

(2,0)

Multiple Choice

What is the y-intercept represented by the equation

g\left(x\right)=\left(4\right)^x

(0,4)

(4,0)

(0,0)

(0,1)

(1,0)

Multiple Choice

Is the pictured graph growth, decay, or linear or none?

Exponential Growth

Exponential Decay

Linear

None

Multiple Choice

Which the following graphs shows an exponential decay equation?

Equations of Exponential Functions

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