Answer:
All Real Number greater than 0 or
(0, positive infinity)
Step-by-step explanation:
The range is all possible y values of a function. We can tell a range by looking at the lowest y vaule then going to the highest possible y value.
Look at the graph. There is a open circle at y=0. So this means we are not going to include 0 in our function. The graph approaches f(x) to positive Infinity so our highest y value is Infinity.
So we know that the function y values cannot be zero and it must be positive. So our range is
All Real Number greater than 0. Or
(0, positive infinity)
Answer: Your picture will not show up, can you post again?
Step-by-step explanation:
<u>Question</u><u> </u><u>1</u>

<u>Question</u><u> </u><u>2</u>
By the geometric mean theorem,

<u>Question</u><u> </u><u>3</u>
By the Pythagorean theorem,

<u>Question</u><u> </u><u>4</u>
By the Pythagorean theorem,

Answer:
(f+g)(x) = 2x^2 + 4x/3 -5
Step-by-step explanation:
so, (f+g)(x) be y
y = f(x) + g(x)
y = x/3 -2 + 2x^2 + x - 3 = 2x^2 + 4x/3 -5
Answer:
analyzed & sketched
Step-by-step explanation:
We are given the function: y = In(x + 3)
So first we need to take the first derivative to find the interval of increase and decrease, then the second derivative to find the interval of concave up and concave down.


So it is always increasing function, and always concave down function.
Since it is a logarithmic function, x>3.
So, x = 3 is vertical asymptote.
I attached the sketch as a picture.