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

[AI-generated answer — Bot GPT 3.5]

To find the y-intercept of a function, we need to set x=0 and solve for y.

For f(x) = 2x - 3, when x=0, we have:
f(0) = 2(0) - 3 = -3

Therefore, the y-intercept of f(x) is -3.

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

When x=0, the equation becomes:
4(0) - 7y = 28
-7y = 28
y = -4

Therefore, the y-intercept of the equation 4x - 7y = 28 is -4.

Comparing the y-intercepts, we see that f(x) = 2x - 3 has the greater y-intercept.

To find f(-2), we substitute -2 for x in f(x) = 2x - 3:
f(-2) = 2(-2) - 3 = -4 - 3 = -7

Therefore, f(-2) = -7.