Find the Slope

Name ________________________

() (show work)

-2

0

1

3

6

+

1.Complete the chart for the function

()=31

a.Find the slope between the points for =2 and =3.

b.Find the slope between the points for =3 and =6.

() (show work)

-2

0

1

3

6

+

2.Complete the chart for the function

()=²+3

a.Find the slope between the points for =2 and x = 1

Spacer for Work Entry

b.Find the slope between the points for =3 and =6

Difference Quotient

The difference quotient is the slope between two points on the curve that are "" units apart in

(+)() the -direction.It is generally given by DQ = .

[See the textbook Page 67, Example 9, or the MAT121 lecture notes "Section 1.3-1.4 Linear Functions, Equations of Lines" for more detail.]

3.Find the difference quotient for ()=31.[Hint: You already found () and (+) for this function in #1.]

4.Find the difference quotient for ()=²+3[Hint: You already found () and (+) for this function in #2.]