Answer:
see the explanation
Step-by-step explanation:
we know that
The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.
The degree and the leading coefficient of a polynomial function determine the end behavior of the graph
In this problem
we have
Is a vertical parabola open upward (the vertex is a minimum)
The degree of the function is even (2) and the leading coefficient is positive.
So,
the end behavior is:
f(x)→+∞, as x→−∞
f(x)→+∞, as x→+∞
Answer:
g(x) = e^(x + 2) + 2
Step-by-step explanation:
First, let's describe the shifts.
Vertical shift.
For a function f(x), a vertical shift of N units is written as:
g(x) = f(x) + N
If N is positive, then the shift is upwards.
If N is negative, then the shift is downwards.
Horizontal shift.
For a function f(x), a horizontal shift of N units is written as:
g(x) = f(x - N)
If N is positive, the translation is to the right
If N is negative, the translation is to the left.
Now let's solve the question.
f(x) = e^x
First, we have a vertical shift up of 2 units, then:
g(x) = f(x) + 2
Now we have a shift to the left of 2 units:
g(x) = f(x - (-2)) + 2
g(x) = f(x + 2) + 2
Then:
g(x) = e^(x + 2) + 2
Answer:
x1 = -3 / x2 = 3
Step-by-step explanation:
First multiply both sides of the equation by three getting you to 2x^ - 12 =6
Then, move the content to the right-hand side and change its sign so you will ADD 12 to the other side you 2x^ = 6+12
6 + 12 = 18
Divide both sides of the equation by 2 so you get x^ = 9
Now simplify by taking the square root to get positive 3giving
Answer:
240
Step-by-step explanation:
You have to find the area of each indivigual side and then add all the areas together. So like 9x5 is 45 so you take 45 and multiply it by 4 since there are 4 sides identical to that side and then you get 180. Then you multiply 6x5 and that gives you 30 which you then multiply by 60, so then all you gotta do is 60+180=240.