Question

If f x is a linear function, f(-1)=3, and f(1)=5, find an equation for f(x)

Answer 1

The equation of f(x) is f(x) = x + 4

How to determine the equation?

The given parameters are

f(-1) = 3 and f(1) = 5

Start by calculating the slope (m) using:

$m = \frac{f(1) - f(-1)}{1 - -1}$

This gives

$m = \frac{5 - 3}{1 + 1}$

Evaluate

m = 1

The equation is then calculated as;

f(x) = m(x - x1) + f(-1)

This gives

f(x) = 1(x + 1) + 3

Expand

f(x) = x + 4

Hence, the equation of f(x) is f(x) = x + 4

Read more about linear function at:

brainly.com/question/4025726

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