Topics
5. Exponents, Radicals, & Exponential Functions
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United States of AmericaVirginia
Algebra 1

5.08 Characteristics of exponential functions

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the function $y=9^x$y=9x.

a

What value is $9^x$9x always greater than?

$9$9

A

$0$0

B

$1$1

C
b

So how many $x$x-intercepts does the curve have?

Easy
< 1min

The graph of $y=2^x$y=2x is displayed here.

Easy
2min

Consider the expression $3^x$3x.

Medium
1min

Consider the equation $y=3^x$y=3x.

Medium
3min
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Outcomes

A.F.2

The student will investigate, analyze, and compare characteristics of functions, including quadratic and exponential functions, and model quadratic and exponential relationships.

A.F.2e

Given an equation or graph of an exponential function in the form y = ab^(x) (where b is limited to a natural number), interpret key characteristics, including y-intercepts and domain and range; interpret key characteristics as related to contextual situations, where applicable.

A.F.2g

For any value, x, in the domain of f, determine f(x) of a quadratic or exponential function. Determine x given any value f(x) in the range of f of a quadratic function. Explain the meaning of x and f(x) in context.

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