Question

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

Answer 1

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.

Answer 2

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

Step-by-step explanation: