Compare Linear and Quadratic Functions

Put these functions in order from least to greatest based on their Y-INTERCEPT.

• B C A

• B A C

• C A B

• C B A

What type of function has a graph that is a straight line?

• Linear

• Quadratic

• Exponential

What type of function has a graph that is a parabola?

• Linear

• Quadratic

• Exponential

Two functions are shown below.

For what positive minimum value of x will f(x) exceed g(x)?

f(x) = x² - 5x + 6

g(x) = 2x + 8

• x = 3

• x = 5

• x = 7

• x = 8

• A

• B

• C

• D

• 1
• 2
• 3
• 4

Compare the shape of a linear function graph to a quadratic function graph.

• A linear function graph is a parabola, and a quadratic function graph is a straight line.

• A linear function graph is a straight line, and a quadratic function graph is a curve.

• A linear function graph is a curve, and a quadratic function graph is a straight line.

• A linear function graph is a straight line, and a quadratic function graph is a parabola.

Two functions are shown below.

For what positive minimum value of x will f(x) exceed g(x)?

f(x) = x² - 5x + 6

g(x) = 2x + 8

• x = 3

• x = 5

• x = 7

• x = 8

Identify the function shown shown
.

• Linear

• Quadratic

• Exponential 

• Not answering

A student examines two graphs representing the functions f(x) = x + 5 and g(x) = x² + 5.  The student notices that the graphs both have a y-intercept at the point (0, 5).  The student makes the following claim:

“For any real number c, the y-intercepts for the graphs of y = c ∙ f(x) and y = c ∙ g(x) are the same.”

Is this true or false?

If it is TRUE, enter the y-coordinate of the y-intercept in terms of c. (0, ​ (a)   )

If its FALSE, enter the y-coordinates of the y-intercepts of  two graphs that are a counter-example. (0, ​ (b)   ) (0, ​ (c)   )

• 5

• ___