AP PreCalculus Memorization Quiz

What does the average rate of change in a function represent?

• The function's concavity

• The function's symmetry

• The slope of the function

• The end behavior of the function

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

When is a function considered positive?

• When its y values are below the x-axis

• When its y values are above the x-axis

• When its y values are getting smaller

• When its y values are getting larger

Tags

CCSS.HSF.IF.B.4

What is the notation for end behavior as inputs decrease without bound?

Tags

CCSS.HSF.IF.C.7

What is the point of inflection on a graph?

• Where the slope of the function is zero

• Where the function is neither increasing nor decreasing

• Where the concavity of the function changes

• Where the function crosses the x-axis

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is true about an even function?

• It is symmetric over the y-axis and f(x) = f(-x)

• It is symmetric over the origin and f(x) = -f(x)

• It has a vertical asymptote

• It has a slant asymptote

Tags

CCSS.HSF.BF.B.3

Vertical asymptotes occur when...

• A factor in the denominator is equal to zero and cancels out

• A factor in the numerator is equal to zero and does not cancel out

• A factor in the denominator is equal to zero and does NOT cancel out

• The degree in the numerator is one greater than the degree in the denominator

Tags

CCSS.HSF-IF.C.7D

What happens to the graph of a function if the value of 'a' in the function g(x) = a · f(b(x + h)) + k is changed?

• It causes a horizontal translation.

• It causes a vertical dilation.

• It changes the x-coordinate by a factor of 1/b.

• It causes a horizontal dilation.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Match the following descriptions of horizontal asymptotes with the correct conditions for a rational function

r(x) = n^th degree polynomial / m^th degree polynomial.

• What is the HA when n < m?

• HA at y = the ratio of the coefficients

• When n is one greater than m, there is..

• a slant asymptote

• What is the HA when n > m?

• HA at y = 0

• What is the HA when n = m?

• No HA

Tags

CCSS.HSF-IF.C.7D

What effect does the 'h' in the function g(x) = a · f(b(x + h)) + k have on the graph?

• It causes a vertical translation.

• It changes the y-coordinate – a vertical dilation.

• It causes a horizontal dilation.

• It changes the x-coordinate – a horizontal translation.

Tags

CCSS.HSF.BF.B.3

What does the 'k' in the function g(x) = a · f(b(x + h)) + k do to the graph?

• It changes the x-coordinate by a factor of 1/b.

• It causes a horizontal translation.

• It changes the y-coordinate – a vertical translation.

• It causes a vertical dilation.

Tags

CCSS.HSF.BF.B.3