Answer:
B, "The graph of g(x) will eventually exceed the graph of f(x)."
Step-by-step explanation:
n>-6 and n<3 (there's your answer my friend)
Ok, so the function form is y = a * bx.
Substitute in the values:
750 = a * b5
and
48 = a * b2
Then divide the two equations:
750/ 48 = (a * b5) / (a * b2)
So:
15.625 = b3
Take the cube root of both sides:
2.5 = b
Now, substitue b into one of the equations (the one with 48 has smaller numbers and is easier to work with.)
48 = a * 2.52
Simplify.
48 = a * 6.25
Divide both sides by 6.25
7.68 = a
Now substitute in a and b to write the exponential function:
y = 7.68 * 2.5x
That would be f(x) = 4|x|. Reason is, the bigger the number that's multiplied by |x|, the narrower the graph will be. The opposite is true for the smaller the number, & so f(x) = .5|x| will be wider.
Hope this helps!
first, find the ratio of 30/24
30/24=
15/12=
5/4
25 divided by 5/4= 20