Function Notation — Unit test Answers

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Which statements about the local maximums and minimums for the given function are true? Choose three options.

Over the interval [1, 3], the local minimum is 0

Over the interval [2, 4], the local minimum is –8.

Over the interval [3, 5], the local minimum is –8.

Over the interval [1, 4], the local maximum is 0.

Over the interval [3, 5], the local maximum is 0.

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What is the inverse of the function f(x) = x – 12?

h(x) = 48x – 4

h(x) = 48x + 4

h(x) = 4x – 48

h(x) = 4x + 48

On a coordinate plane, a curved line with a maximum value of (negative 1, 2) crosses the x-axis at (negative 3, 0) and (1, 0), and crosses the y-axis at (0, 1.5).

(–3, 0) and (0, 1.5)

(–3, 0) and (1,0)

(–1, 2) and (1, 0)

(0, 1.5) and (1, 0)

The table represents the function f(x).

–29

–10

–3

–1

Which is the graph of y = –|2x + 1|?

Option

Graph the function y = |1.6x – 2| – 3.2. Over which interval is the function increasing?

(1.25, ∞)

(3.25, ∞)

(–∞, 1.25)

(–∞, 3.25)

Which set of ordered pairs represents a function?

{(2, –2), (1, 5), (–2, 2), (1, –3), (8, –1)}

{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}

{(6, 8), (5, 2), (–2, –5), (1, –3), (–2, 9)}

{(–3, 1), (6, 3), (–3, 2), (–3, –3), (1, –1)}

A 2-column table with 7 rows. The first column is labeled x with entries negative 6, negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 8, 2, 0, negative 2, negative 1, 0, 4.

(–2, 0)

(0, –2)

(2, –1)

(4, 0)

On a coordinate plane, a curved line crosses the y-axis at (0, 1), crosses the x-axis at (.25, 0), turns at point (2, negative 3), and crosses the x-axis (3.75, 0).

all the real numbers

all the real numbers greater than or equal to 0

all the real numbers greater than or equal to 2

all the real numbers greater than or equal to –3

The graph represents a functional relationship.

–14

–2

The table represents a function.

–6

–2

A 2-column table with 6 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 8, negative 3, negative 3, 4, 1, 3.

(–1, –3)

(0, –2)

(1, 4)

(2, 1)

A 2-column table with 4 rows. The first column is labeled x with entries negative 6, negative 1, 0, 3. The second column is labeled y with entries negative 7, 1, 9, negative 2.

{x | x = –6, –1, 0, 3}

{y | y = –7, –2, 1, 9}

{x | x = –7, –6, –2, –1, 0, 1, 3, 9}

{y | y = –7, –6, –2, –1, 0, 1, 3, 9}

For one month Siera calculated her home town’s average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees Fahrenheit to degrees Celsius using the function . What does C(F) represent?

C(F) represents the output of the function C in degrees Celsius when the input F is in degrees Fahrenheit

C(F) represents the output of the function F in degrees Fahrenheit when the input C is in degrees Celsius

C(F) represents the output of the function C in degrees Fahrenheit when the input F is in degrees Celsius

C(F) represents the output of the function F in degrees Celsius when the input C is in degrees Fahrenheit

The function f(x) is shown on the graph.

12 only

2 and 3 only

–2, –1, 1, and 2 only

–2, –1, 1, 2 and 12

A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 0, 2, 8, 2, 0, negative 2.

(0, 8)

(–4, 0)

(–4, 0), (4, 0)

(–4, 0), (0, 8), (4, 0)

A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 15, negative 5, 0, 5, 0, negative 5.