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For the function f(x)=3x^2-8 what is the average rate of change on the interval from 0 to 10?​

For The Function Fx3x28 What Is The Average Rate Of Change On The Interval From 0 To 10 class=

Sagot :

jsi85342

Answer:

Average rate of change

=

26.5

Explanation:

Use the slope formula to find average rate of change:

m

=

y

2

−

y

1

x

2

−

x

1

To use the slope formula, you need 2 points on the curve - we only have to x values, so we need to find f(8) and f(10).

f

(

8

)

=

92

f

(

10

)

=

145

These means are points are

(

x

1

,

y

1

)

=

(

8

,

92

)

and

(

x

2

,

y

2

)

=

(

10

,

145

)

.

m

=

145

−

92

10

−

8

m

=

53

2

m

=

26.5

Step-by-step explanation:

MrRoyal

The average rate of change on the interval from 0 to 10 is 30

How to determine the average rate of change?

The function is given as:

f(x)=3x^2-8

The interval is given as:

0 to 10

Calculate f(0) and f(10)

f(0)=3 *(0)^2 -8

f(0) = -8

f(10)=3 *(10)^2 -8

f(10) = 292

The average rate of change is then calculated as:

Rate = (f(10) - f(0))/(10 - 0)

This gives

Rate = (292 +8 )/(10 - 0)

Evaluate

Rate = 30

Hence, the average rate of change on the interval from 0 to 10 is 30

Read more about average rates of change at:

https://brainly.com/question/8728504

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