Answer:
a) see the plots below
b) f(x) is exponential; g(x) is linear (see below for explanation)
c) the function values are never equal
Step-by-step explanation:
a) a graph of the two function values is attached
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b) Adjacent values of f(x) have a common ratio of 3, so f(x) is exponential (with a base of 3). Adjacent values of g(x) have a common difference of 2, so g(x) is linear (with a slope of 2).
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c) At x ≥ 1, the slope of f(x) is greater than the slope of g(x), and the value of f(x) is greater than the value of g(x), so the curves can never cross for x > 1. Similarly, for x ≤ 0, the slope of f(x) is less than the slope of g(x). Once again, f(0) is greater than g(0), so the curves can never cross.
In the region between x=0 and x=1, f(x) remains greater than g(x). The smallest difference is about 0.73, near x = 0.545, where the slopes of the two functions are equal.
Answer:
I'm pretty sure it b
Step-by-step explanation:
I think its b
For this case we have:
By properties of the radicals 
So:
.
Now, for power properties we have:

Thus, 
So:
in its radical form
Answer:
in its simplest form.
in its radical form
Answer:
15. 2
16.
or 1.6875
17.
or 0.5666666667
18. 5
19.
or 4.375
20.
or 4.4
Step-by-step explanation:
Find common denominators. Multiply then simplify (if possible).
Answer:
The center is (0,0) and the radius is 3
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2+(y-k)^2 = r^2
Where (h,k) is the center and r is the radius
(x-0)^2+(y-0)^2 = 3^2
The center is (0,0) and the radius is 3