Answer:
48
Step-by-step explanation:
Plug in (4,64) into each answer choice.
A) 4(2)^x
64 =4(2)^4
64 = 4(16)
64 = 64
Answer choice A is correct.
B) f(x) = 2(4)^x
64 = 2(4)^4
64 = 2(256)
64 ≠ 512
Answer choice B is incorrect.
C) f(x) = 4(2)^{-x}
64 = 4(2)^{-4}
64 = 4(-0.0625)
64 ≠ 0.25
Answer choice C is incorrect.
D) f(x) = 2(4)^{-x}
64 = 2(4)^{-4}
64 = 2(0.00390625)
64 ≠ 0.0078125
Answer choice D is incorrect.
Your answer is B<span>) f(x)=2(4)^x</span>
This is a quadratic equation, which is also a polynomial. Polynomials all have the domain (-infinity, +infinity).
As for the range: You can see from the graph that the smallest y-value is -2. Thus, the range is [-2, infinity).
Base = length * width.
We know that the base has an area of 10
And 60 is the volume. Then 60 / 10 = 6 Which is the height.
