Finding Domain and Range of Absolute Value Functions

What is the shape of the graph of the parent absolute value function?

• A straight line

• A parabola

• A V shape

• A circle

What is the domain of the parent absolute value function?

• All positive numbers

• All negative numbers

• All real numbers

• Numbers between -1 and 1

Tags

CCSS.HSF-IF.C.7D

What is the range of the parent absolute value function?

• All real numbers

• All positive numbers

• All numbers less than or equal to zero

• All numbers greater than or equal to zero

How does moving the graph left or right affect the domain?

• It changes the range

• It affects both domain and range

• It does not affect the domain

• It changes the domain

If the graph of an absolute value function is moved up, how is the range affected?

• The range becomes all real numbers

• The range shifts down

• The range shifts up

• The range remains the same

What is the domain of the function y = |x| + 3?

• All real numbers

• All negative numbers

• All positive numbers

• Numbers greater than 3

For the function y = |x| - 5, what is the range?

• y ≥ 5

• y ≤ -5

• y ≥ -5

• y ≤ 5

How does a negative sign inside the absolute value function affect the graph?

• Shifts the graph down

• Shifts the graph up

• Reflects over the x-axis

• Reflects over the y-axis

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What happens to the range when the graph is reflected over the x-axis?

• The range remains the same

• The range becomes all real numbers

• The range starts from negative infinity to the maximum value

• The range starts from zero to positive infinity

If the function y = -|x| + 5 is given, what is the range?

• y ≤ -5

• y ≤ 5

• y ≥ 5

• y ≥ -5