Chapter 6 Review Jeopardy

Inverse f(x)

100

A function can be considered _______ if it passes both the Vertical and Horizontal line tests, and its different domain values always lead to different range values.

One - to - one

200

If the domain of f(x): (-3/2, 6) and the range is (0, 7) what is the domain and range of the function f^-1(x)?

D: (0, 7)

R: (-3/2, 6)

300

What is the inverse of y = 2/(x+3)?

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

Logarithmic f(x)

100

Logarithmic functions are the inverse of what other type of function?

Exponential f(x)

200

Solve: log(3)27 = x

x = 3

300

Solve: 2^(3-x) = 8

0

Exponential f(x)

100

If g(x) = (2/3)^x-5 + 7 where does the critical point of g(x) = (2/3)^ x move to?

(5, 8)

200

Solve: 1.5^(x+1) = (27/8)^x

x =1/2

300

Find the formula for the function that passes through the points (2, 4.5) and (0, 0.5)

f(x) = 0.5(3)^x

Solving

100

Solve and write in interval notation: (1/2)^2x < (1/16)^x+3

(-infinity, -6)

200

Solve: 3^2x +35 = 12(3x)

(log3(5), log3(7))

300

Solve: (1/8)^2x-3 =16^x+1

x = 1/2