Linear Functions Domain & Range

What is the slope of a linear function?

• The slope of a linear function is a constant value.

• The slope of a linear function is always negative

• The slope of a linear function is undefined

• The slope of a linear function changes constantly

Tags

CCSS.8.EE.B.5

How do you determine the y-intercept of a linear function?

• Multiply x and y values and set the result to 0

• Find the slope of the linear function

• Use the midpoint formula to calculate the y-intercept

• Set x = 0 in the linear function and solve for y.

What is the x-intercept of a linear function?

• The x-intercept is the highest point on the graph

• The x-intercept is always at the origin (0,0)

• The x-intercept of a linear function is the point where the function crosses the x-axis.

• The x-intercept is the point where the function crosses the y-axis

Define the concept of domain in relation to linear functions.

• The domain of a linear function is limited to positive numbers only

• The domain of a linear function is all integers

• The domain of a linear function is all real numbers (-∞, +∞).

• The domain of a linear function is a set of complex numbers

Explain the concept of range in the context of linear functions.

• The range of a linear function is always a single number.

• The range of a linear function is all negative numbers.

• The range of a linear function is all real numbers if the function is continuous and extends infinitely in both directions.

• The range of a linear function is all even numbers.

If the slope of a linear function is 3, what does this indicate about the function?

• The function has a y-intercept of 3.

• The function is increasing at a rate of 3 units for every 1 unit increase in the independent variable.

• The function is a constant function.

• The function is decreasing at a rate of 3 units for every 1 unit increase in the independent variable.

Tags

CCSS.HSF.LE.B.5

Given a linear function y = 2x + 5, what is the y-intercept?

• 2

• 5

• 7

• 10

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

For the linear function y = -4x + 8, what is the x-intercept?

• 5

• 6

• 2

• 3

What is the domain of the linear function y = 3x - 2?

• All real numbers

• Integers

• Rational numbers

• Only positive numbers

Determine the range of the linear function y = 2x + 4.

• All real numbers

• Numbers less than 10

• Even integers

• Only positive numbers