Understanding Linear Functions and Graphs

Which graph does NOT pass the vertical line test?

• Graph 1
• Graph 2
• Graph 3
• Graph 4

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

It is a function? Explain. Select all that applies.

• Yes

• No

• Passes the Vertical Line Test.

• Fails the Vertical Line Test.

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

It is a function? Explain. Select all that applies.

• Yes

• No

• Passes the Vertical Line Test.

• Fails the Vertical Line Test.

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

True or False:

All linear relationships will pass the vertical line test, thus all linear relationships are functions.

• True

• False

What is a linear function?

• A function whose graph is a straight line

• A function whose graph is a circle

• A function whose graph is a parabola

• A function whose graph is a hyperbola

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What does the slope of a line describe?

• The steepness of the line and/or the rate of change of the line.

• The color of the line

• The length of the line

• The width of the line

Tags

CCSS.8.EE.B.5

Which show a linear function? Select 2.

• 
• 
• 
• 

Tags

CCSS.8.F.A.3

Not only can we tell that a function is linear by look at the graph (must be a straight line). We can also tell by looking at the equation. A linear function contains a variable to the first power.

If you see any exponents higher than 1, the function is non-linear.

Select the linear equation.

• 
• 

Tags

CCSS.8.F.A.3

Is this function linear or nonlinear?

• Linear function

• Nonlinear function

Tags

CCSS.8.F.A.3

Select the linear equation.

• 
• 

Tags

CCSS.8.F.A.3