the function f(x) is shown in the table.\n|x| - 4| - 2|0|2|4|\n|f(x)| - 18| - 12| - 6|0|6|\nthe function…

the function f(x) is shown in the table.\n|x| - 4| - 2|0|2|4|\n|f(x)| - 18| - 12| - 6|0|6|\nthe function g(x) is represented by the equation g(x)=2(x - 2)^2.\nuse the drop - down menus to compare the y - intercepts of f(x) and g(x).\nclick the arrows to choose an answer from each menu.\nthe y - intercept of f(x) is choose... and the y - intercept of g(x) is choose...\nthe y - intercept of f(x) is choose... the y - intercept of g(x).

the function f(x) is shown in the table.\n|x| - 4| - 2|0|2|4|\n|f(x)| - 18| - 12| - 6|0|6|\nthe function g(x) is represented by the equation g(x)=2(x - 2)^2.\nuse the drop - down menus to compare the y - intercepts of f(x) and g(x).\nclick the arrows to choose an answer from each menu.\nthe y - intercept of f(x) is choose... and the y - intercept of g(x) is choose...\nthe y - intercept of f(x) is choose... the y - intercept of g(x).

Answer

Explanation:

Step1: Find y - intercept of f(x)

The y - intercept of a function is the value of the function when x = 0. From the table of f(x), when x = 0, f(0)=-6.

Step2: Find y - intercept of g(x)

To find the y - intercept of g(x)=2(x - 2)^2, substitute x = 0 into the function. g(0)=2(0 - 2)^2=2×(-2)^2=2×4 = 8.

Step3: Compare the y - intercepts

Since - 6<8, the y - intercept of f(x) is less than the y - intercept of g(x).

Answer:

The y - intercept of f(x) is - 6 and the y - intercept of g(x) is 8. The y - intercept of f(x) is less than the y - intercept of g(x).