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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.
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