The table represents the function f(x).

x 0 1 4 9 16
f(x) -4 -3 -2 -1 0

If g(x) = , which statement is true?
A.
The y-intercept of g(x) is less than the y-intercept of f(x).

B.
The y-intercept of g(x) is equal to the y-intercept of f(x).

C.
The x-intercept of g(x) is equal to the x-intercept of f(x).

D.
The x-intercept of g(x) is greater than the x-intercept of f(x).

g(x)= 4√x-8

put x=0

then g(0)= -8

f(0)= -4 (from table)

So,g(x) is less than f(x)

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3