On a piece of paper, graph f(x) = 4 x (0.5)^x
1 answer:
The complete question is
"On a piece of paper, graph f(x) = 4. (0.5)^x Then determine which answer choice matches the graph you drew."
The given function is an exponential function. The graph of option C is the correct answer.
<h3>What are exponential functions?</h3>When the expression of function is such that it involves the input to be present as an exponent (power) of some constant, then such function is called exponential function.
There usual form is specified below. They are written in several such equivalent forms.
For example,
, where a is a constant is an exponential function.
The function is given as
f(x) = 4. (0.5)^x
AS we can see that the given function is an exponential function.
Thus, the graph of option C is the correct answer.
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Answer:
<em>The domain of f is (-∞,4)</em>
Step-by-step explanation:
<u>Domain of a Function</u>
The domain of a function f is the set of all the values that the input variable can take so the function exists.
We are given the function
It's a rational function which denominator cannot be 0. In the denominator, there is a square root whose radicand cannot be negative, that is, 4-x must be positive or zero, but the previous restriction takes out 0 from the domain, thus:
4 - x > 0
Subtracting 4:
- x > -4
Multiplying by -1 and swapping the inequality sign:
x < 4
Thus the domain of f is (-∞,4)