Recognizing linear, exponential and quadratic functions

​Key Concepts

​Linear	​Quadratic
​  y=mx+b	​ ​y=x2
​ first differences in y-values are constant	​ second differences in y-values are constant

​Example 2

​Tell whether each table of values represents a linear, quadratic, or neither function.

​x	​-3	​-2	-1​	​0	​1
y ​	​11	​8	​5	2​	​-1

​a.



b.




c.

​x	-2​	​-1	0​	​1	​2
y​	​-1	​-2	​-1	​2	7​

​x	-2​	​-1	0​	​1	​2
​y	​1	2​	​4	8​	​16

Multiple Choice

What type of function is shown?

• Linear

• Quadratic

• Exponential

Multiple Choice

What type of function that represents by this table?

• Quadratic function
• Linear function
• Exponential function
• Trigonometric function

Multiple Choice

What type of function that represents by this table?

• Quadratic function
• Linear function
• Exponential function
• Trigonometric function

Multiple Choice

What type of function is shown?

• Linear

• Quadratic

• Exponential

Multiple Choice

What type of function is shown?

• Linear

• Quadratic

• Exponential

Multiple Choice

What type of function is shown?

• Linear

• Quadratic

• Exponential

Multiple Choice

What type of function is shown?

• Linear

• Quadratic

• Exponential

​Example 3

​Differentiate Linear and Quadratic Equations

Match

Match the following

• Linear Function

• Quadratic Function

• Neither

y = 2x + 3

• y = 2x + 3

• $$y=2x^2+4x+1$$

• $$y=3^x-1$$

Multiple Choice

Which option shows a LINEAR function?

• $$y=2-\frac{x}{3}$$

• $$y=x^2+4x-1$$

• $$y=3\left(2\right)^x$$

• $$y=1+2^{\left(x+3\right)}$$

Multiple Choice

What type of function is shown?

• Linear

• Quadratic

• Exponential

Multiple Choice

What type of function is shown?

• Linear

• Quadratic

• Exponential

Multiple Choice

What type of function is shown?

• Linear

• Quadratic

• Exponential

Multiple Choice

What type of function is shown?

• Linear

• Quadratic

• Exponential

Multiple Choice

What type of function is shown?

• Linear

• Quadratic

• Exponential