Question

which of these functions has the greater y-intercept? f(x) = xy−3−27−2−8−1−1001−12−8, g(x) = 8x² + 3x − 1 a. f(x) b. g(x) c. f(x) and g(x) have the same y-intercept. d. f(x) and g(x) do not have a y-intercept.

Answer 1

The function f(x) has a greater y-intercept than g(x).

Step-by-step explanation:

The y-intercept of a function represents the value of the function when x is equal to 0. We can determine the y-intercept of a function by finding the value of the function when x is 0.

In the given functions, f(x) = xy-3-27-2-8-1-1001-12-8 and g(x) = 8x² + 3x - 1, we can see that f(x) is a linear function while g(x) is a quadratic function.

For f(x), when x=0, the y-intercept can be found by substituting x=0 into the function which gives us f(0) = 0(-3) - 27 - 2 - 8 - 1 - 100 - 1 - 2 - 8 = -160.

For g(x), when x=0, the y-intercept can be found by substituting x=0 into the function which gives us g(0) = 8(0)² + 3(0) - 1 = -1.

Therefore, the function with the greater y-intercept is f(x).