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.

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

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

Substitute x=0 then, we get

because ()

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

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

10 cm

step-by-step explanation:

if the polygon is a rectangle, then the perimeter is x+x+y+y. using the values that you gave, the perimeter is 3+3+2+2=10cm.

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!