Identify the parent function for the function g(x) = x + 9 from its function rule. Then graph g and identify what transformation of the parent function it represents.

linear; translation down 9 units

constant; translation up 9 units

constant; translation down 9 units

linear; translation up 9 units

Identify the coordinates that result when the point (−4, 5), is translated 8 units right and 3 units down.

(4,2)

(12,2)

(4, −6)

(−12, 8)

For the function f(x) = 6x − 8, identify the values of f(0), f(1/2), and f(−2).

−8; −5; −20

−8; −11; −20

8; −5; 4

8; −11; 4

Identify the domain and range for the relation.

{(1, 3), (2, 5), (3, 7), (4, 9), (5, 9)}

D = {3, 5, 7, 9}

R = {1, 2, 3, 4, 5}

D = {3, 5, 7, 9, 9}

R = {1, 2, 3, 4, 5}

D = {1, 2, 3, 4, 5}

R = {3, 5, 7, 9, 9}

D = {1, 2, 3, 4, 5}

R = {3, 5, 7, 9}

Use a table to perform the reflection of y = f(x) across the y-axis. Identify the graph of the function and its reflection.

Identify the graph for the function f(x) = −7x + 3.

Identify the relation that is not a function.

number of days to number of hours in those days

homes to the electricity consumed by each

professional tennis players to their rankings

city to professional sports teams

Use the vertical-line test to determine whether the relation is a function. If not, identify two points a vertical line would pass through.

function

not a function; (1, 3) and (5, −3)

not a function; (0, 0) and (3, 0)

not a function; (1, 3) and (3, 0)

Use a table to compress the function y = f(x) vertically by a factor of 1/2. Identify the graph of the function and its transformation.