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1

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 ____.

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2

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 ____.

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3

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 ___

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4

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 ____

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5

A function has a valid inverse

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

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6

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

f(x) is concave down

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7

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

f(x) is concave up

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8

f(x) is positive

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

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9

f(x) is negative

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

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10

f(x) is increasing

The graph of f(x) has a positive slope

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11

f(x) is decreasing

The graph of f(x) has a negative slope

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12

The rate of change of f(x) is increasing

f(x) is concave up

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13

The rate of change of f(x) is decreasing

f(x) is concave down

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14

f(x) is concave up

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

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15

f(x) is concave down

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

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16

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

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17

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

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18

f(x) has an intercept at x = a

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

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19

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

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20

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

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21

A model is considered appropriate for a data set

The residual plot for the model appears random and without pattern

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22

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

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23

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

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24

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.

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25

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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