On a coordinate plane, a parabola opens up and approaches the y-axis in quadrant 1, has a vertex at (StartFraction pi Over 2 EndFraction, 0), and approaches x = pi. The function repeats at (negative StartFraction 3 pi Over 2 EndFraction). A parabola opens down and approaches the y-axis in quadrant 3, has a vertex at (StartFraction negative pi Over 2 EndFraction), and approaches x = negative pi. The parabola repeats at (StartFraction 3 pi Over 2 EndFraction).
The graph shows y = csc(x). Which of the following are true of its inverse? Check all that apply.

Zeros: None
Domain: (−∞,−1] U [1,∞)
Range: [0, π]
Minimum: Negative StartFraction pi Over 2 EndFraction
Maximum: StartFraction pi Over 2 EndFraction
Increasing on (StartFraction pi Over 2 EndFraction, pi) and (pi, StartFraction 3 pi Over 2 EndFraction)

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AFOKE88 AFOKE88 · Answer 1 · 2022-06-22T20:31:33+02:00

The correct statements that apply to the given graph are;

zeros: none

domain: (−∞,−1] U [1,∞)

minimum: -π/2

maximum: π/2

From the given graph, we can see that the maximum and minimum points on the graph are at;

Minimum = -π/2

Maximum = π/2

Now, the zeros are where the graph curve crosses the x-axis but that doesn't exist here. Thus there are no zeros.

The domain of the graph would be (−∞,−1) U (1,∞). This is because y starts from 1 or -1 and goes to infinity.

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