Answer:
f(x) = 3x^2 - 12x - 36.
Step-by-step explanation:
f(x) =3 /2(x - 2)^2 - 24
f(x) = 3/2 (x^2 - 4x + 4) - 24
f(x) = 3/2 x^2 - 6x + 6 - 24
f(x) = 3/2 x^2 - 6x - 18
Multiply through by 2:
f(x) = 3x^2 - 12x - 36.
1a) The function has arrows on both ends and no place in the middle where it is not defined. Its domain is ...
All Reals
1b) The function gives no output values below -3, but it gives output values of -3 and all above that. Its range is ...
y ≥ -3
1c) For values of x less than -1, the function's output is 1. This matches g(x) and s(x). At x=0, the function's output is -3, which only matches g(x). The appropriate choice is ...
g(x)
2b) The function is only defined for 0 ≤ x < 8. This is its domain.
3) A definition might be ...
Answer:
18.75 or 18 3/4
Step-by-step explanation:
Given the function:

The function can also be written as:

The range of the function will be all set of y values.
To find the range, let's graph the function below.
We have:
From the graph above, all possibe y values range from 0 to infinity.
Therefore, the range of the function is from zero infinity.
In interval notation:
Range = (0, +∞)
ANSWER:
4. (0, +∞)