Question

On a coordinate plane, a straight line with a negative slope, labeled f of x, crosses the y-axis at (0, 4), and the x-axis at (4, 0).
Which is true regarding the graphed function f(x)?

f of 0 = 3
f of 5 = negative 1
f of 3 = 2
f of 2 = negative 2

Answer 1

The line through (0,4) and (4,0) has slope m = (0−4)/(4−0) = −1, so f(x) = −x + 4.

Evaluate:
- f(0) = 4 (not 3)
- f(5) = −5 + 4 = −1 ✓
- f(3) = 1 (not 2)
- f(2) = 2 (not −2)

So the true statement is: f(5) = −1.