Hi I need help please this is due today please do all the problems please and thank you

Question

In problems 1-4, the graph of a function is given. Use the graph to find:

(a) The intercepts, if any

(b) The domain and range

(c) The intervals on which it is increasing, decreasing, or constant

(d) Whether it is even, odd, or neither

1. The coordinates are (-4,2),(0,3),(-2,0),(2,0),(4,2)
2. The coordiantes are (-3,3),(-1,0),(0,2),(1,0),(3,3)
3. The coordiantes are (0,1)
4. The corrdinates are (1,0)

Answer 1

1a: two x intercepts (2,0) and (-2,0), one y intercept (0,3)

that initially looks like a parabola pattern, except

(-4,2) and (4,2) suggest an ellipse or a 4th degree polynomial pattern

It helps to plot the points.

1b: domain is the set of x values: {-4, -2, 0, 2, 4}

range is the y values: {0,2, 3}

1c: From left to right the y values decrease on the intervals (-4,-2) and (0,2), then increase on the intervals (-2,0) and (2,4), the decreasing and increasing intervals alternate

1d: the points are symmetric about the y axis, so the function is even

2a two x intercepts (-1,0) and (1,0) one y intercept (0,2)

2b: domain is {-3, -1, 0, 1, 3} range is {0, 2, 3}

2c: decreasing intervals (-3,-1), (0,1) increasing (-1,0), (1,3)

2d: It's an even function as the points are symmetric about the y axis

3a: one y intercept (0,1). No x intercepts

3b: domain is {0}, range {1}

3c: no increasing or decreasing intervals

3d: the point is trivially symmetric about the y axis, so even, but neither might be acceptable answer

4a: (1,0) is an x intercept. No y intercept

4b: domain is {1}, range {0}

4c: no increasing or decreasing interval

4d not symmetric about the y axis or the origin. Neither even nor odd