Answer:
A) see attached for a graph. Range: (-∞, 7]
B) asymptotes: x = 1, y = -2, y = -1
C) (x → -∞, y → -2), (x → ∞, y → -1)
Step-by-step explanation:
<h3>Part A</h3>
A graphing calculator is useful for graphing the function. We note that the part for x > 1 can be simplified:

This has a vertical asymptote at x=1, and a hole at x=2.
The function for x ≤ 1 is an ordinary exponential function, shifted left 1 unit and down 2 units. Its maximum value of 3^-2 = 7 is found at x=1.
The graph is attached.
The range of the function is (-∞, 7].
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<h3>Part B</h3>
As we mentioned in Part A, there is a vertical asymptote at x = 1. This is where the denominator (x-1) is zero.
The exponential function has a horizontal asymptote of y = -2; the rational function has a horizontal asymptote of y = (-x/x) = -1. The horizontal asymptote of the exponential would ordinarily be y=0, but this function has been translated down 2 units.
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<h3>Part C</h3>
The end behavior is defined by the horizontal asymptotes:
for x → -∞, y → -2
for x → ∞, y → -1
Answer: 140 
Step-by-step explanation:
The area for a trapeziod is A =
(b1+b2)h
We have almost everything we just need the total length of the top base, since it gives us the outer lengths we can find that by simply doing 4+6+15 which turns out to be 25
Now we can plug in our values:
A =
(25 + 15) x 7 = 140
Answer:
8x
Step-by-step explanation:
3x + 8x are like terms which means they have the exact same variable.
To add like terms we add the coefficients which are 3 and 5.
3 + 5 = 8
We have 8 x's. So 3x + 5x = 8x.
In order to add terms, the variable part has to be exactly the same.
It's like saying 3 balls + 5 balls = 8 balls.
C=2πr=2·π·13≈81.68141
C=81.68