Justification Quiz 1 Flashcards

(13 cards)

1
Q

f is best modeled by a linear function

A

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

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2
Q

f is best modeled by a quadratic function

A

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

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3
Q

f is best modeled by an exponential function

A

Input values change additively( in intervals of size ___) as output values change proportionally( by a factor of __).

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4
Q

f is best modeled by a logarithmic function

A

Input values change proportionally (by a factor of __) as output values change additively (in intervals of size __)

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5
Q

A function f is invertible

A

Each output value of f is mapped from a unique input value. There are no repeated f(x) values.

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6
Q

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

A

f is concave down

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7
Q

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

A

f is concave up

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8
Q

f is positive

A

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

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9
Q

f is negative

A

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

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10
Q

f is increasing

A

The graph of f has a positive slope

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11
Q

f is decreasing

A

The graph of f has a negative slope

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12
Q

The rate of change of f is increasing

A

f is concave up

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13
Q

The rate of change of f is decreasing

A

f is concave down

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