The statements that are true are B, C, and F.
Which facts are true about the exponential function?
Here we have the exponential function:
[tex]f(x) = 4*5^x[/tex]
We can see that the initial value is 4, and the base is 5. Because the base is larger than 1, this is an exponential growth function.
The statements that are true are:
B: The domain of an exponential function is always the set of all real numbers.
C: Is an exponential growth, so yes, it is increasing.
F: The y-intercept is given by evaluating the function in x = 0, when you do that, you get the initial value, which is 4. So the y-intercept is (0, 4).
If you want to learn more about exponential functions:
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