Algebra 1 Common Core Student Edition, Grade 8-9

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@ Common Core State Standards

F- I F. C. 7 e Graph exponential... functions, showing

intercepts and end b e h a v io r... Also F-IF.B.4, F-IF.B.5,

F- I F. C. 9 , F- LE. A. 2

MP 1, MP 2, MP 3, MP 4, MP 7

Object ive To evaluate and graph exponential functions

Ex p o n e n t i a l Fu n c t i o n s

Your soccer team wants to p ract ice

a d r i l l f o r a cer t ai n amount o f

time each day. Which plan will give

your team more t o t al p ract ice time

over 4 d ays? Over 8 d ays? Explain

, M A TH EM A TICA L your reasoning.

(PRACTICES

'

St e p b ack and

think. Are these

plans reasonable?

Lesso n 1
Vocabulary
exponential
fu n ctio n

The two plans in the Solve It have different patterns of growth. You can model each type

of growth with a different type of function.

Esse n t i a l U n d e r st a n d i n g Some functions model an initial amount that is

repeatedly multiplied by the same positive number. In the rules for these functions, the

independent variable is an exponent.

Key Concept Exponential Function

Definition

An exponent ial function is a function of the form y -

and x is a real number.

Ex a m p l e s

a • bx, where a # 0 , b > 0 , b ¥= 1 ,

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