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

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

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

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

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