Question

Find the net change in the value of the function between the given inputs.

f(x) = 5x − 4; from 1 to 6.

Answer 1

To find the net change in the value of the function f(x) = 5x - 4 from 1 to 6, evaluate the function at both points and subtract: f(6) - f(1) equals 25.

Step-by-step explanation:

The question asks for the net change in the value of the function f(x) = 5x - 4 from input values of 1 to 6. To find this, we need to evaluate the function at both input values and then subtract to find the difference.

Step-by-Step Solution

1. Evaluate f(x) at the initial input value 1: f(1) = 5(1) - 4 = 1.
2. Evaluate f(x) at the final input value 6: f(6) = 5(6) - 4 = 30 - 4 = 26.
3. Calculate the net change by taking the final function value and subtracting the initial function value: net change = f(6) - f(1) = 26 - 1 = 25.

The net change in the function value from x=1 to x=6 is therefore 25.