Question

HELP!!! WHICH FUNCTION HAS THE LARGEST Y INTERCEPT

Answer 1

The function that has the largest y-intercept is the function that has the largest y-value when x = 0.

f(0) = 2(0)^2+3(0)-4 = -4 is the y-intercept of f(x).

When g(0), the value of y is 0

To find the y-intercept of h(x), we find the point where x=0, and see that it equals -2.

Therefore, the function with the largest y-intercept is g(x)

Answer 2

For f(x), the function uses the following formula:

$ax^2 + bx + c$

The y-intercept in this formula is represented by c.

f(x) has a c value of -4, so the y-intercept of f(x) is -4.

For g(x), the y-intercept is found when the graph cross the y-axis.

g(x) cross the y-axis at y = 0, so the y-intercept of g(x) is 0.

For h(x), the y-intercept is found by taking the output at x = 0.

At x = 0, the y value that is output is -2, so the y-intercept is -2.

Compare the three y-intercepts:

$f(0) = -4$

$g(0) = 0$

$h(0) = -2$

$-4 < -2 < 0$

The function with the greatest y-intercept is g(x), with a y-intercept of 0.