AP Precalculus Exam Justification Guide
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25 Terms
f is best modeled by a linear function.
Over consecutive equal-length input-value intervals of size__,there is a constant difference in output values of__.
f is best modeled by a quadratic function.
Over consecutive equal-length input-value intervals of size__, there is a constant second difference in output values of__.
f is best modeled by an exponential function.
Input values change additively, as output values change proportionally by a factor of__.
f is best modeled by a logarithmic function.
Input values change proportionally, as output values change additively by a factor of__.
A function f is invertible.
Each output value of f is mapped from a unique input value.
The estimated output value found by using a known output and the average rate of change is an overestimate.
f is concave down.
The estimated output value found by using a known output and the average rate of change is an underestimate.
f is concave up.
f is positive.
The graph of f is above the x-axis.
f is negative.
The graph of f is below the x-axis.
f is increasing.
The graph of f has a positive rate of change(slope).
f is decreasing.
The graph of f has a negative rate of change(slope).
The rate of change of f is increasing.
f is concave up.
The rate of change of f Is decreasing.
f is concave down.
f is concave up.
Average rates of change of f over equal-sized intervals are increasing.
f is concave down.
Average rates for change of f over equal-sized intervals are decreasing.
The graph of f has a hole at x =a.
The multiplicity of x=a in the numerator is equal to or greater than the multiplicity of x=a in the denominator.
The graph of f has a vertical asymptote at x = a.
The multiplicity of x = a in the denominator is greater than the multiplicity of in the numerator. x = a is a zero of the denominator and not the numerator.
The graph of f has an x-intercept at x = a.
x = a is a zero of the numerator and not of the denominator.
f has a relative maximum at x=a.
The rate of change of f changes from positive to negative. f changes from increasing to decreasing.
f has a relative minimum at x=a.
The rate of change of f changes from negative to positive. f changes from decreasing to increasing.
A model is considered appropriate for a data set.
The residual plot shows no pattern.
The value predicted by the model at a certain input gives an overestimate for the true value at that input.
The residual is negative.
The value predicted by the model at a certain input goes an underestimate for the true value at that input.
The residual is positive.
The distance between a point on the graph of r = f(theta) and the origin is increasing.
Values of r are positive and increasing or r are negative and decreasing.(Same)
The distance between a point on the graph of r = f(theta) and the origin is decreasing.
Values of r are positive and decreasing or r are negative and increasing.(Different)