Identifying and Evaluating Functions

Identifying and Evaluating Functions

​You will identify and evaluate functions given their graph's and/or equations

​Linear Functions

​Any straight line

Usually written in the form y=mx+b

Examples:

Multiple Select

Select all the equations that represent a linear function.

• $$y=\frac{x}{4}+5$$

• $$y=x^2-x$$

• $$y=x$$

• $$y=-x$$

Absolute Value Functions

​Makes a 'V' or upsidedown 'V'

Usually written in the form y = a| x - h | + k

Examples:

Multiple Select

Select all the graphs showing an absolute value function

Quadratic Functions

Multiple Select

Select all that show an example of a quadratic function.

• $$y=3x^2+2$$

• $$y=3x+4$$

• $$y=8\left(x+3\right)^2$$

• $$y=2x^2+x+1$$

• $$y=x^2$$

Square Root Function

Cubic Function

Cube Root Function

Multiple Choice

What kind of function is this?

• Linear Function

• Quadratic Function

• Cubic Function

• Square Root Function

• Absolute Value Function

Multiple Choice

What kind of function is this?

• Linear Function

• Cannot determine
• Quadratic Function

• Cube Root Function

Multiple Choice

What kind of function is this:

$$y=2\left|x+5\right|$$

• Cubic Function.

• Absolute Value Function

• Quadratic Function

• Linear Function.

Multiple Choice

Identify the following function

• Quadratic Function

• Cubic Function

• Linear Function

• Absolute Value Function

Multiple Choice

Identify the function:

$$y=3x+4$$

• Linear function
• Absolute Value function

• Quadratic function

• Quadratic function

Multiple Choice

Identify the following function:

$$y=x^2-2$$

• Linear Function

• Quadratic Function

• Cubic Function

• Square Root Function

Multiple Choice

What would the domain for this function be?

• $$\left(\infty,-\infty\right)$$

• $$\left(-\infty,\infty\right)$$

• $$\left[-2,7\right]$$

• $$\left[0,0\right]$$

Multiple Choice

What would the domain for this function be?

• $$\left(\infty,-\infty\right)$$

• $$\left(-\infty,\infty\right)$$

• $$\left[-1,5.5\right]$$

• $$\left[0,0\right]$$

Multiple Choice

What would the domain for this function be?

• $$\left(\infty,-\infty\right)$$

• $$\left(-\infty,\infty\right)$$

• $$\left[-3,3\right]$$

• $$\left[0,0\right]$$

Multiple Choice

What would the domain for this function be?

• $$\left(\infty,-\infty\right)$$

• $$\left(-\infty,\infty\right)$$

• $$\left[-1,2\right]$$

• $$\left[0,0\right]$$

Multiple Choice

Evaluate $$f\left(3\right)$$ , given $$f\left(x\right)=3x^2+2x-4$$

• 30

• 29

• 31

• 28

Multiple Choice

Evaluate $$h\left(10\right)$$ , give $$h\left(x\right)=5x-10$$

• 30
• 50
• 20
• 40

Multiple Choice

Evaluate $$a\left(-18\right)$$ , give $$a\left(x\right)=\left|x+5\right|-10$$

• 3
• -8
• -23
• 15

Multiple Choice

Evaluate $$k\left(-5\right)$$ , given $$k\left(x\right)=x^2+3x-2$$

• -8
• 12
• 0
• 8

Multiple Choice

Evaluate $$p\left(-2\right)$$ , give $$p\left(x\right)=-5x^2-5$$

• -10
• 5
• 0
• -25