It is a irrational number.
For each of the given answer choices, substitute the x-value into the given equation f(x) = 3(1/4)^x and see the equation gives the same f(x), or y-value.
Remember f(x) is the same thing as y and so coordinates for a point are in problem is (x, f(x))
Let's try the first coordinate (-2, 48). The x-value given by the coordinate is -2 and the f(x) value is 48.
Substituting x as -2
![f(x) = 3( \frac{1}{4})^x \\ f(x) = 3 (\frac{1}{4})^{-2} \\ f(x) = 3* (\frac{4}{1})^2 = 48](https://tex.z-dn.net/?f=f%28x%29%20%3D%203%28%20%5Cfrac%7B1%7D%7B4%7D%29%5Ex%20%5C%5C%20%20%0Af%28x%29%20%3D%203%20%28%5Cfrac%7B1%7D%7B4%7D%29%5E%7B-2%7D%20%20%5C%5C%20%0Af%28x%29%20%3D%203%2A%20%28%5Cfrac%7B4%7D%7B1%7D%29%5E2%20%3D%2048)
into the equation,
This matches with the answer choice (-2, 48) so A should be correct.
But you can also check the other answer using the same process to make sure.
Answer:
y = 1
Step-by-step explanation:
You should be able to tell by inspection that the line is horizontal at y = 1.
Answer:
f(-1) = 1/5 , f(2)=25 , f(3)=125
Step-by-step explanation: