Determine the average rate of change over left curly bracket negative 4 less or equal than x less or equal than 4 bold right curly bracket. Do NOT simplify.

{-4≤ x≤ 4}

The average rate of change would be 1 for f(x) = x.

Step-by-step explanation:

Suppose we have a range a≤x≤b, then the average rate of change can be calculated by =f(b) - f(a)/b-a

The given range lies from -4 to 4 as {-4≤ x≤ 4}

The range of this is from -4 to 4.It includes all the numbers ranging from -4 to 4.

The average rate of change of the function is calculated by

= f(4) - f(-4)/4-(-4)

Suppose f(x)= x  then f(4)= 4   and f(-4)= -4

Then

4- (-4)/ 4- (-4)

= 8/8= 1

So the average rate of change would be 1.

answer: 25.4 units

step-by-step explanation: radius = 12.7 units

diameter = twice the radius

diameter = 12.7 x 2

= 25.4

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: