Compare Properties of Functions

What is the horizontal asymptote to this function? (Hint: compare the degrees in numerator and denominator)

• y=4

• y=0

• y=-2

• y=1

What property of a rational function is found by substituting in 0 for "x"?

• the x-intercept

• the vertical asymptote

• the hole

• the y-intercept

Is there a vertical asymptote?

(Hint: remember to factor/cancel first)

• Yes. x = 2

• Yes. x = - 2

• there is no vertical asymptote

• Yes. x = 1

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth

• Exponential Decay

• Linear

• None

This is an exponential function.

• True

• False

Compare f(x) = 3^x- 4 with the basic function g(x) = 3^x

• 4 units up

• 4 units to the left

• 4 units to the right

• 4 units down

What transformations have happened to f(x) = 2^x if the new equation is
 g(x) = -2^(x+3) -6

• It stayed the same

• reflects, up 3, left 6

• reflects, right 3, down 6

• reflects, left 3, down 6

What is the asymptote of y = 2^x - 3

• y = 0

• y = -3

• x = 0

• x = -3

Which function models this table?

Asymptote?

• y = 2

• y = -2

• x = 2

• y = 0