Question

Here are 4 equations defining 4 different functions, a, b,c, and d. List them in order of

increasing rate of change. That is, start with the one that grows the slowest and end
with the one that grows the quickest.
a. (x) = 5x + 3
b. (x) = 3x + 5
c. (x) = x +4
d. (x) = 1 + 4x

Answer 1

Explanation:

In order to test the rate of growth of the functions, we use a single value of x to monitor the results of all the equation.

Let's use a random value of 3;

The equation with the highest result is the one that grows the quickest

a. (x) = 5x + 3

a. (x) = 5(3) + 3 = 18

b. (x) = 3x + 5

b. (x) = 3(3) + 5 = 14

c. (x) = x +4

c. (x) = (3) +4 = 7

d. (x) = 1 + 4x

d. (x) = 1 + 4(3) = 1 + 12 = 13

Upon going through the results and arranging in increasing order;

c. (x) = x +4

d. (x) = 1 + 4x

b. (x) = 3x + 5

a. (x) = 5x + 3