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 set x = 0 and solve for y.

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

So the y-intercept of the first function is -3.

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

So the y-intercept of the second function is -4.

Comparing the two functions, we see that the first function (f(x) = 2x - 3) has a y-intercept of -3, while the second function (4x - 7y = 28) has a y-intercept of -4. Therefore, the second function has the greater y-intercept.

To find f(-2), we substitute -2 into the equation f(x) = 2x - 3:
f(-2) = 2(-2) - 3
= -4 - 3
= -7

So f(-2) = -7.