Question

Use the following functions to solve each:
f(x) = 2x -3 4x - 7y = 28

Which function has the greater y-intercept?

What is f(-2)?

Answer 1

To find the y-intercept of the function f(x) = 2x - 3, we set x = 0 and solve for y:

f(0) = 2(0) - 3
= -3

So, the y-intercept of this function is -3.

To find the y-intercept of the equation 4x - 7y = 28, we set x = 0 and solve for y:

4(0) - 7y = 28
-7y = 28
y = -4

So, the y-intercept of this equation is -4.

Comparing the two y-intercepts, we can see that the equation 4x - 7y = 28 has a greater y-intercept than the function f(x) = 2x - 3.

To find f(-2), we substitute x = -2 into the function f(x) = 2x - 3:

f(-2) = 2(-2) - 3
= -4 - 3
= -7

So, f(-2) = -7.