AP Precalculus FRQ Vocab

f(x) should be a modeled as a linear function

Over consecutive equal-length input-value intervals of size ___, there is a constant difference in output values of ____.

f(x) should be a modeled as a quadratic function

Over consecutive equal-length input-value intervals of size ___, there is a constant second difference in output values of ____.

f(x) should be a modeled as an exponential function

Input values change additively in intervals of size ____ as output values change proportionally by a factor of ___

f(x) should be a modeled as a logarithmic function

Input values change proportionally by a factor of ___ as output values change additively in intervals of size ____

A function has a valid inverse

Each output value of f(x) has an input value, and there are no repeated output values.

The estimated output value found by using a known output and the average rate of change is an overestimate

f(x) is concave down

The estimated output value found by using a known output and the average rate of change is an underestimate

f(x) is concave up

f(x) is positive

The graph of f(x) is above the x/t-axis

f(x) is negative

The graph of f(x) is below the x/t-axis

f(x) is increasing

The graph of f(x) has a positive slope

f(x) is decreasing

The graph of f(x) has a negative slope

The rate of change of f(x) is increasing

f(x) is concave up

The rate of change of f(x) is decreasing

f(x) is concave down

f(x) is concave up

The average rate of change of f(x) over equal-sized intervals is increasing

f(x) is concave down

The average rate of change of f(x) over equal-sized intervals is decreasing

f(x) has a hole at x = a

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

f(x) has a vertical asymptote at x = a

x = a is a zero of the denominator and NOT of the numerator OR The multiplicity of x = a in the denominator is greater than the multiplicity of x = a in the numerator

f(x) has an intercept at x = a

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

f(x) has a relative maximum at x = a

f(x) changes from increasing to decreasing at x = a OR the rate of change of f(x) changes from negative to positive at x = a

f(x) has a relative minimum at x = a

f(x) changes from decreasing to increasing at x = a OR The rate of change of f(x) changes from negative to positive at x = a

A model is considered appropriate for a data set

The residual plot for the model appears random and without pattern

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

The residual for that input is negative

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

The residual for that input is positive

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

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

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

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