<h3>
Answer: 17</h3>
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Explanation:
This is a piecewise function. It's composed of 3 pieces of other functions. A piecewise function is a function that changes its identity based on what the input is.
We have three different situations here
- If t = 17, then h(t) = sqrt(17t) based on what the first row says
- If t = 19, then h(t) = -34/t which is the second row of the piecewise function.
- If t does not equal either 17 or 19 (ie t is anything but those values), then h(t) = 23-t
The notation h(17) means we want to evaluate h(t) when t = 17. So we'll use the first case mentioned above. Plug t = 17 into h(t) = sqrt(17t) to get...
h(t) = sqrt(17t)
h(17) = sqrt(17*17)
h(17) = sqrt(17^2)
h(17) = 17
In the last step, I used the rule that sqrt(x^2) = x when x is nonnegative.
To show how you decided, the simple way would be to draw a picture. Create 2 rectangles of the same length and divide them up according to the fraction. Then shade the number of pieces for the numerator and compare both fractions. Whichever is longer is the greater fraction.
Answer:
Reflecting across the x-axis looks like this: -g(x)
A negative on the outside of the function.
So your answer may be
-|x|
