The range of the function given below is the set of all positive real numbers greater than 5
f(x)=5+4^x
true or false?

True -

Step-by-step explanation:

Given : The range of the function given below is the set of all positive real numbers greater than 5 ,

To find : The given statement is true or false?

Solution :  

Domain of the function is where the function is defined

The given function is an exponential function

So, the domain of the function is,

i.e, The set of all real numbers.

Range is the set of value that corresponds to the domain.

Let

If

If

So, The range of the function is

Therefore, The given statement is true.

True

Step-by-step explanation:

just did it

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.