Unit 2 AP Precalculus

2.8 Inverse Functions

100

Given the function f(x)=3x+2, find the inverse function f^-1(x)

y=3x+2

200

Given the function f(x)=(2x+3)/5

f^-1(x)=(5x/2) - (3/2)

300

Given the function f(x)=(3x+2)/(x−1) find the inverse function f^−1(x)

(x+2)/(x-3)

400

Given the function f(x)= (2x+1)/(x-2) find the inverse function

f^-1(x)=(1+2x)/(x-2)

500

Given the function f(x)= e^x-1 find the inverse function

f^-1(x)=ln(x+1)

2.9 Exponential & Logarithmic Functions

100

If f(x) = ln(x), what does f(e³) equal? 

3

200

If you have log₈ (64), what is your result?

2

300

In the expression f(x)=log(100) what is the unspoken base?

10

400

Rewrite as a log expression 16^5/2 = 1024

log₁₆ 1024= 5/2

500

Find value of log function f(x)= log_{27 81}= ?

4/3

2.1 Changes in Geometric and Arithmetic Sequences

100

Find the ratio of the geometric sequence 

9,27,81,243,...

3

200

Find the ratio of the geometric sequence

{-4,-16,-64,...}

4

300

Find the equation for the sequence using k as the initial nth term 

{44,36,28,20,...} 

k=4

a_n=20-8(n-4)

400

Find the ratio of the geometric sequence

{75,15,3,3/5,..} 

1/5

500

Find the 87th term of the sequence

{105,95,85,...}

-755

2.7 Composition of Functions

100

If f(x)= x-3 and g(x)=18x+1 what is f(g(x))?

18x-2

200

If g(x)=90x f(x)=(x/2)-2 what is f(g(x))?

45x

300

If g(x)= 3x-1 and f(x)= 4x/3 what is f(g(x))?

(12x-4)/3

400

If g(x)=4x-1 and f(x)=5x/8 what is f(g(x))?

(40x-5)/8

500

If f(x)=9x-4 and g(x)=(11x-4)/3 what is g(f(x))?

(99x-48)/3

2.3 Exponential Functions

100

Identify if the function is exponential growth or decay.

f(x)=5.1(0.4)^x

Decay

200

Is the functions concave up or down?

f(x)=7(2)^x

Concave up

300

Is the function increasing or decreasing?

f(x)=-(0.8)^x

Increasing

400

Whats the limit as this function approaches the infinitely?

f(x)=-4(5)^x

0

500

^xWrite the exponential function notation for 5 x 5 x 5.

f(x)= 5^x