What is the domain and range of the function y=2 x ? Use the graph to help!

Domain: −∞<x<∞ Range: y>0

Domain: −∞<x<∞ Range: y>1

How does f ( x ) = 4 ( 2 ) x − 3 − 1 f(x)=4(2)^{x-3}-1 f ( x ) = 4 ( 2 ) x − 3 − 1 shift the parent function f ( x ) = 2 x f\left(x\right)=2^x f ( x ) = 2 x ?

Right 3, down 1, stretch by a factor of 4

Left 3, down 1, stretch by a factor of 4

Right 3, up 1, stretch by a factor of 4

Left 3, up 1, stretch by a factor of 4

This exponential function has a vertical stretch of 4, a decay rate of 1/3, a horizontal shift left 8, and a vertical shift down 1.

y = 4 ( 1 3 ) ( x + 8 ) − 1 y=4\left(\frac{1}{3}\right)^{\left(x+8\right)}-1 y = 4 ( 3 1 ) ( x + 8 ) − 1

y = 4 ( 1 3 ) ( x + 1 ) − 8 y=4\left(\frac{1}{3}\right)^{\left(x+1\right)}-8 y = 4 ( 3 1 ) ( x + 1 ) − 8

y = 1 3 ( 4 ) ( x + 8 ) − 1 y=\frac{1}{3}\left(4\right)^{\left(x+8\right)}-1 y = 3 1 ( 4 ) ( x + 8 ) − 1

y = 4 ( 1 3 ) ( x − 8 ) + 1 y=4\left(\frac{1}{3}\right)^{\left(x-8\right)}+1 y = 4 ( 3 1 ) ( x − 8 ) + 1

Exponential Function Practice

Authored by Erin Truesdale

Mathematics

9th - 12th Grade

CCSS covered

Used 3+ times

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19 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the initial value for the exponential function:
f(x) = 300(1.16)^t?

300

1.16

.16

Tags

CCSS.HSF.LE.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Is this exponential growth or decay?

Growth

Decay

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What does the model P=A(1+r)^t best represent?

Exponential growth

Simple Interest

Compound Interest

Exponential Decay

Tags

CCSS.HSF-IF.C.8B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What type of function is f(x)=2(0.05)^x ?

Exponential Growth

Linear

Exponential Decay

None of the Abovee

Tags

CCSS.HSF-IF.C.8B

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A new savings account is opened with $400 and gains 3% every year. What's the amount after 5 years?

$415

$463.71

$343.49

$460.12

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

14327

4309

839

7680

Tags

CCSS.HSF-LE.A.1C

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Exponential Growth

Exponential Decay

Linear

None

Tags

CCSS.HSF-IF.C.7E

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Exponential Function Practice

What is the initial value for the exponential function:
f(x) = 300(1.16)^t?

Is this exponential growth or decay?

What does the model P=A(1+r)^t best represent?

What type of function is f(x)=2(0.05)^x ?

A new savings account is opened with $400 and gains 3% every year. What's the amount after 5 years?

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

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

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

Semi-Annually means how many times a year?

What principal will amount to $4500 if invested at 4% interest compounded quarterly for 5 years?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Exponential Function Practice

What is the initial value for the exponential function: f(x) = 300(1.16)t?

Is this exponential growth or decay?

What does the model P=A(1+r)t best represent?

What type of function is f(x)=2(0.05)x ?

A new savings account is opened with $400 and gains 3% every year. What's the amount after 5 years?

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

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

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

Semi-Annually means how many times a year?

What principal will amount to $4500 if invested at 4% interest compounded quarterly for 5 years?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

What is the initial value for the exponential function:
f(x) = 300(1.16)^t?

What does the model P=A(1+r)^t best represent?

What type of function is f(x)=2(0.05)^x ?