Sketch the graph of the given function. The state the functions domain and rangef(x)=-2{1/4}^x
1 answer:
Answer:
Domain: -∞ < x < ∞
Range: f(x) < 0
Step-by-step explanation:
We need to sketch the graph and identify domain and range of the function f(x).
The graph is attached in the figure below.
Domain:
The domain of the function is all the values of x that gives the real values for f(x).
So, in our case all values of x gives real values for f(x). So domain is:
-∞ < x < ∞
Range:
The range of the function is the resulting f(x) values when we put all the values of x.
In our case the value of f(x) will always be less than zero because of the negative sign.
Range is:
f(x) < 0
You might be interested in
If all you want is a horizontal shrink then the answer you choose should not be in brackets. The brackets will alter the way the graph looks.
That means that A and B are not correct.
If you have a graph where a>1 the graph will expand.
If you have a graph where a<1 but greater than 0 the graph will shrink.
y = 1/2 x^3 + 4 is the answer you want.
Just to show you the graphs, I have enclosed a graph of the three choices.
y = x^3 + 4 is red
y = 2x^3 + 4 is blue
y = (1/2) x^3 + 4 is green. The green one is the one you want.
