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

f(x)=(2/5)^x

AThe range of F(x) is y > 0.
BThe domain of F(x) is x > 0.
CThe y-intercept is (0, 1).
DIt is increasing.
EIt is decreasing.

F. The x-intercept is (1, 0).

Verified Answer :

vgonzalez12000

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


Step-by-step explanation:


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Answer:

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

Step-by-step explanation:

We are given the function, \(f(x)=(\frac{2}{5})^x\)

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 \(\{y| y>0\}\).

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.

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