Justification Quiz 2

Question 1

f is concave up

Answer 1

Average rates of change of f over equal-sized intervals are increasing

Question 2

f is concave down

Answer 2

Average rates of change of f over equal-sized intervals are decreasing

Question 3

The graph of f has a hole at x = a

Answer 3

The multiplicity of x = a in the numerator is greater than or equal to the multiplicity of x = a in the denominator.

Question 4

The graph of f has a vertical asymptote at x = a

Answer 4

The multiplicity of x = a in the denominator is greater than or equal to the multiplicity of x = a in the numerator.

Question 5

The graph of f has an x-intercept at x = a

Answer 5

x = a is a zero of the numerator and NOT of the denominator

Question 6

f has a relative maximum at x = a

Answer 6

f changes from increasing to decreasing at x = a

Question 7

f has a relative minimum at x = a

Answer 7

f changes from decreasing to increasing at x = a

Question 8

A model is considered appropriate for the data set.

Answer 8

The residual plot for the model appears without pattern

Question 9

The value predicted by the model at a certain input gives an overestimate for the true value at that input

Answer 9

The residual for that input is negative

Question 10

The value predicted by the model at a certain input gives an underestimate for the true value at that input

Answer 10

The residual for that input is positive

Question 11

The distance between a point on the graph of r = f (θ) and the origin is increasing

Answer 11

Values of r are positive and increasing, or values of r are negative and decreasing (|r| is increasing)

Question 12

The distance between a point on the graph of r = f (θ) and the origin is decreasing

Answer 12

Values of r are positive and decreasing, or values of r are negative and increasing (|r| is decreasing)