What is the average rate of change for this exponential function for the interval from x = 2 to x = 4?

Mathematics

1 answer:

Hunter-Best [27]3 years ago

8 0

Answer:

The average rate of change over the interval is 120

Step-by-step explanation:

For a function f(x) the average rate of change over an interval [a,b] is given as;

f(b)-f(a)/b-a

in this case, a is 2 and b is 4

f(b) is 256 and f(a) is 16

Substituting these values in the equation for rate of change, we have;

(256-16)/(4-2) = 240/2 = 120

You might be interested in

ANswer this question!!!!!

4vir4ik [10]

Its Going to Be Table B! Good Luck :)⇔

6 0

3 years ago

The area of a rectangle is 3/8 in and the length is 5/8 What is the width?

liberstina [14]

Answer:

The width W is :

$W=\frac{3}{5}$

Step-by-step explanation:

Let A be the area of the rectangle

Let L be the length of the rectangle

Let W be the width of the rectangle

______

Formula:

A = L × W

__________

$\begin{aligned}A &=L \times W \\\Rightarrow W &=\frac{A}{L} \\\Rightarrow W &=\frac{\frac{3}{8}}{\frac{5}{8}} \\&=\frac{3}{8} \times \frac{8}{5} \\&=\frac{3 \times 8}{8 \times 5} \\&=\frac{3}{5}\end{aligned}$

6 0

3 years ago

Question 2

fomenos

Answer:

D. (-2,-5), (0, -7), (1, -4)

Step-by-step explanation:

From Function Theory we must remember that range of a function is the set of images related to elements of the domain. In this case, we must find the image of each of the three elements that forms the domain of $f(x, y) = (y+2, -x-4)$ , which are: $A(x,y) = (1, -4)$ , $B(x,y) = (3,-2)$ and $C(x,y) = (0,-1)$ .