Exponential & Logarithmic Functions

Asymptotes

100

Give the asymptote.

y = 2^x - 4

y = - 4

200

Exponential functions have _______ asymptotes while logarithmic functions have _______ asymptotes.

Horizontal; Vertical

300

Describe what an asymptote is in your own words.

An "invisible" line that your graph cannot cross.

400

Give the asymptote.

y = 4^x-8 + 6

y = 6

500

Give the asymptote.

y = log₂(-x + 4) - 3

x = 4

Values of a Function

100

If f(x) = 2^x + 1, what is f(3)?

f(3) = 9

200

If f(x) = 4^x - 2, what is f(-2)? 

Give your answer as a fraction!

f(-2) = -31 / 16

300

If f(x) = log₄(-x), what is f(-16)?

f(-16) = 2

400

If f(x) = log₂(x + 4) - 2, what is f(4)?

f(4) = 1

500

Given 

f(x) = 2^x + 1 and g(x) = log₂(-x), find

f(-2) and g(-16)

f(-2) = 5/4

g(-16) = 4

Domain & Range

100

What is the domain of the function y = -5^x + 4?

All real numbers.

200

What is the range of the function y = 3^x + 1?

y > 1

300

What is the domain of the function y = log₂(x + 6)?

x > -6

400

What is the domain and range of the function y = -2^x - 2?

D: All real numbers

R: y < -2

500

What is the domain and range of the function y = log₃(-x + 2)?

D: x < 2

R: All real numbers

Surprise?

100

What is Ms. Lee's favorite color?

Pink

200

Name both sports that Coach Adams coaches.

Baseball & Wrestling

300

What is the perimeter of a circle called?

Circumference

400

Eight comes first if all numbers are arranged in alphabetical order. What number would come last?

Zero

500

Name two types of polynomials.

Monomial, Binomial, or Trinomial