Question

Which facts are true for the graph of the function below? Check all that apply.
F(x)=(3/7)^x
A. The x-intercept is (1, 0).
B. It is decreasing.
C. It is increasing.
D. The y-intercept is (0, 1).
E. The domain of F(x) is x > 0.
F. The range of F(x) is y > 0.

Answer 1

Answer:

B. It is decreasing function

D.The y- intercept is (0,1)

F.The range of F(x) is y > 0

Step-by-step explanation:

We are given that a function

$f(x)=(\frac{3}{7})^x$

We have to find the facts which are true about the graph of the given function.

Substitute x=0 then, we get

$f(x)=(\frac{3}{7})^0=1$ because ($a^0=1$)

Therefore, y- intercept  is (0,1).

It is defined for all real number .Therefore, domain of given function is all real numbers .

Domain of F(x)=R

Range of F(x):y >0

$lim_{x\rightarrow\infty)(\frac{3}{7})^x=0$

$\lim_{x\rightarrow-\infty}(\frac{3}{7})^x=\infty$

Hence, it is decreasing function.

Answer:B. It is decreasing function

D.The y- intercept is (0,1)

F.The range of F(x) is y > 0

Answer 2

the answers are b,d, and f.  I got it correct.