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2 answers:
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Answer: 1)
2) see graph
3) Choose one color from the graph
4) D: x ≥ -4
R: y ≥ 0 for or y ≤ 0 for
<u>Step-by-step explanation:</u>
1) To find the inverse, swap the x's and y's and solve for y:
Given: y = x² - 4
Swap: x = y² - 4
x + 4 = y²
2) see attachment. Red and Blue combined creates the graph of the inverse.
3) Choose either the positive (red graph) or the negative (blue graph).
red graph:
blue graph:
4) Domain reflects the x-values of the function. The x-values for the red graph is the same as the blue graph so the answer will be the same regardless of which equation you choose.
Domain: x ≥ 0
Range reflects the y-values of the function. The y-values differ between the positive and negative inverse functions. <em>Positive is above the x-axis. Negative is below the x-axis.</em>
Range (red graph): y ≥ 0 for
Range (blue graph): y ≤ 0 for
