Mathematics: 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.

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Which facts are true for the graph of the function

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13.03.2022

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.

B. It is decreasing function

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

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

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