Question

Which facts are true for the graph of the function below? Check all that apply.

f(x)=(2/5)^x
A. The range of F(x) is y > 0.
B. The domain of F(x) is x > 0.
C. The y-intercept is (0, 1).
D. It is increasing.
E. It is decreasing.
F. The x-intercept is (1, 0).

Answer 1

Answer: A: the range of F(x) isY>0 C : The y-intercept is (0,1) E. It is decreasing.

Explanation:

Answer 2

The true facts for the function are A, C and E.

Explanation:

We are given the function,
`f(x)=((2)/(5))^x`

From the graph below, we see that,

Domain of the function is the set of all real numbers.

Range of the function is the set
`\y`.

Y-intercept is the point when graph crosses the y-axis. So, we see that at (0,1), the graph of the function cuts the y-axis.

So, the y-intercept is (0,1).

Moreover, as the values of x are increasing, the values of f(x) are decreasing.

Thus, the function is a decreasing function.

Hence, the true facts for the function are A, C and E.