Answer:
Range = {-1, 1, 3}
Step-by-step explanation:
<u><em>The question asks for the range.</em></u>
The function given is
The domain is the set of 3 numbers:
Domain = {4,6,8}
We need to find the range.
First, the range is the set of all y-values for which the function is defined.
When we will be given the domain with a set of numbers, the range would be the numbers that we get when we evaluate the the function at those numbers.
So, we evaluate the function (y-values) at x = 4,6, and 8.
At x = 4:
At x = 6:
At x = 8:
Thus, the range is:
Range = {-1, 1, 3}
For eight loop, multiply it by 3 to get the whole length of loop
8 x 3 = 24 inches
Since 12 inches is equivalent to 1 feet, convert that
24 inches * (1 feet / 12 inches) = 2 feet
> 0
First, note that x is undefined at 5. / x ≠ 5
Second, replace the inequality sign with an equal sign so that we can solve it like a normal equation. / Your problem should look like:
= 0
Third, multiply both sides by x - 5. / Your problem should look like: 3x - 5 = 0
Forth, add 5 to both sides. / Your problem should look like: 3x = 5
Fifth, divide both sides by 3. / Your problem should look like: x =
Sixth, from the values of x above, we have these 3 intervals to test:
x <
< x < 5
x > 5
Seventh, pick a test point for each interval.
1. For the interval x <
:
Let's pick x - 0. Then,
> 0
After simplifying, we get 1 > 0 which is true.
Keep this interval.
2. For the interval
< x < 5:
Let's pick x = 2. Then,
> 0
After simplifying, we get -0.3333 > 0, which is false.
Drop this interval.
3. For the interval x > 5:
Let's pick x = 6. Then,
> 0
After simplifying, we get 13 > 0, which is ture.
Keep this interval.
Eighth, therefore, x <
and x > 5
Answer: x <
and x > 5
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