Answer:
The red segment is from 1/4 to 3/4.
3/4 - 1/4 = 2/4
2/4 = 1/2
1/2

This answer can also be found by seeing there are four equal boxes making up the one larger box, since two out of the four boxes are filled then the fraction would be 2/4, which simplifies to 1/2

6 0

2 years ago

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

BartSMP [9]

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

<h3>How to determine the equation?</h3>

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