Difference Quotient

Difference Quotient Review

Multiple Choice

Warm-up: What is the domain of the function

$$f\left(x\right)\ =\ \frac{\sqrt{x-8}}{\ln\left(x\right)}$$  ?

• $$\left[8,\ \infty\right)$$  

• $$\left(0,\ 8\right]$$  

• $$\left(0,\ \infty\right)$$  

• $$\left(0,\ 8\right)\ \cup\left(8,\ \infty\right)$$  

Multiple Choice

Consider the function

$$f\left(x\right)\ =\ 4x\ +\ 9$$  . Evaluate f(x + h).

• 4x + 4h + 9

• 4x + h + 9

Multiple Choice

Consider the function

$$f\left(x\right)\ =\ 2x\ -\ 5$$  . Evaluate  $$f\left(x\ +\ h\right)\ -\ f\left(x\right)$$  .

• 2h

• h

• h - 5

Try Example 3 on your own.

• When you are done, go to the next slide to see the video.

Multiple Choice

$$f\left(x\right)\ =\ x^2\ -\ 4x$$  .

Exit Ticket: Find the difference quotient of the function

• 2x + h - 4

• 2x - h - 4

• 2x + h + 4

• 2x - h + 4

Poll

How comfortable do you feel with finding the difference quotient so far?

• I understand it well.

• I just need a bit more practice.

• This is difficult, but I somewhat understand.

• I am struggling with this.