# (a) The average rate of change of a function f between x Mathematics Assignment Help

(a) The average rate of change of a function f between x Mathematics Assignment Help. (a) The average rate of change of a function f between x Mathematics Assignment Help.

(a) The average rate of change of a function f between x = a and x = b is the slope of the  —Select— tangent secant vertical curved line between (af(a)) and (bf(b)).

(b) The average rate of change of the linear function f(x) = 5x + 1 between any two points is  .

(a) The average rate of change of a function f between x Mathematics Assignment Help[supanova_question]

A function is given. Determine the average rate of change of the function between the given values of the variable.

1)   h(t) = t2 + 5t;    t = −1, t = 2

2)   af(z) = 5 − 4z2;    z = −2, z = 0

3)   f(x) = x3 − 5x2;    x = 0, x = 10

4)   f(x) = x + x4;    x = −3, x = 5

5)   f(x) = 5x2;    x = 3, x = 3 + h

6)   f(x) = 3 − x2;    x = 6, x = 6 + h

[supanova_question]

## Graph posted before this Mathematics Assignment Help

(a) Find all the local maximum and minimum values of the function as well as the value of x at which each occurs.

local maximum

(xy) =

local minimum

(xy) =

(smaller x-value)

local minimum

(xy) =

(larger x-value)

[supanova_question]

## A function is given. Determine the average rate of change of the function bet Mathematics Assignment Help

A function is given. Determine the average rate of change of the function between the given values of the variable.

h(t) = t2 + 5t;    t = −1, t = 2

af(z) = 5 − 4z2;    z = −2, z = 0

f(x) = x3 − 5x2;    x = 0, x = 10

f(x) = x + x4;    x = −3, x = 5

f(x) = 5x2;    x = 3, x = 3 + h

f(x) = 3 − x2;    x = 6, x = 6 + h

[supanova_question]

## ​A function is given. Determine the average rate of change of the function betwe Mathematics Assignment Help

A function is given. Determine the average rate of change of the function between the given values of the variable.

1.
f(x) = 8x − 5;    x = 2, x = 3
2.
g(x) = 3 +

 1 2

x;    x = 1, x = 2

[supanova_question]

[supanova_question]

## ​A function is given. Determine the average rate of change of the function betwe Mathematics Assignment Help

A function is given. Determine the average rate of change of the function between the given values of the variable.

g(x) = 2 +

 1 2

x;    x = 1, x = 9

f(z) = 3 − 2z2;    z = −2, z = 0
f(x) = 7 − x2;    x = 6, x = 6 + h

​A function is given. Determine the average rate of change of the function betwe Mathematics Assignment Help[supanova_question]

## ​A function is given below. Determine the average rate of change of the function Mathematics Assignment Help

A function is given below. Determine the average rate of change of the function between

t = 5

and

t = 5 + h.

f(t) =

 9t

[supanova_question]

## ​The average rate of change of a function f betwee Mathematics Assignment Help

The average rate of change of a function f between

x = d

and

x = g

is

average rate of change =

f

− f

g − d

[supanova_question]

## The graph shows the depth of water W in a reservoir over a one-year period as a Mathematics Assignment Help

The graph shows the depth of water W in a reservoir over a one-year period as a function of the number of days x since the beginning of the year. What was the average rate of change of W between

x = 0

and

x = 100?

(Assume that the points lie on the grid lines.)
ft/day

[supanova_question]

## ​If you travel 400 miles in five hours, then your average speed for the trip is Mathematics Assignment Help

If you travel 400 miles in five hours, then your average speed for the trip is

average speed =

 400

=

mi/h

[supanova_question]

(a) The average rate of change of a function f between x Mathematics Assignment Help

(a) The average rate of change of a function f between x Mathematics Assignment Help 