Algebra Topic 5 Test Review

Determine if (8, 8) is on the graph of f(x) = |x|, and if so,

identify another point with the same y-coordinate that is also on the graph.

• (8, 8) is not on the graph

• (8, 8) is on the graph; another point is (-8, 8)

• (8, 8) is on the graph but no other point exists with y = 8

Determine if (-5, 5) is on the graph of f(x) = |x|, and if so,

identify another point with the same y-coordinate that is also on the graph.

• (-5, 5) is not on the graph

• (-5, 5) is on the graph; another point is (5, 5)

• (-5, 5) is on the graph but no other point exists with y = 5

What is the domain of the function: f(x) = -6|x| ?

• all real numbers

• all real numbers ≥ 0

• all real numbers ≤ 0

• all real numbers ≤ -6

What is the range of the function: f(x) = -6|x| ?

• all real numbers

• all real numbers ≥ 0

• all real numbers ≤ 0

• all real numbers ≤ -6

Determine if the vertex of the function represents a minimum or a maximum.

g(x) = -3|x|

• maximum

• minimum

What is the domain of the function shown?

• all real numbers

• all real numbers ≥ 0

• all real numbers ≤ 0

• all real numbers ≤ 3

What is the range of the function shown?

• all real numbers

• all real numbers ≥ 0

• all real numbers ≤ 0

• all real numbers ≤ 3

Identify the vertex of the function shown.

• (3,3)

• (3,0)

• (0,3)

• (0,0)

Express the function f(x) = -5|x| as a piecewise-defined function.

• f(x) = {-5x, x < 0

  5x, x ≥ 0

• f(x) = {-5x, x ≤ 0

  5x, x > 0

• f(x) = {-5x, x ≥ 0

  5x, x < 0

• f(x) = {-5x, x ≥ 0

  5x, x ≤ 0

What piecewise-defined function represents the graph shown?

• f(x) =

  {-5/3 x + 5, x ≤ 0

  3/4 x + 3, x > 0

• f(x) =

  {-5/3 x + 5, x < 0

  3/4 x + 3, x ≥ 0

• f(x) =

  {5/3 x + 5, x ≤ 0

  -3/4 x + 3, x > 0

• f(x) =

  {5/3 x + 5, x < 0

  -3/4 x + 3, x ≥ 0