Question

Which features describe the graph? Select all that apply.

ту
14
-2
O
-2
domain: (-3,3]
Orange: (-3,4]
decreasing: (-1.4)
increasing: (-3,-1)
negative: (-3,-2), (2,5]
positive: (-2,2)

Answer 1

Only Option III, IV, VI are correct

Explanation:

Domain is the set of values of x at which the function is defined. f(x) has defined values from x>-3 to x<=4, so the domain is (-3,4). Incorrect.

Range of the function is the set of all defined values of it. Here all values with y=f(x)>-3 and y<=3 are defined. So the range is (-3, 3}.

Decreasing and increasing parts of the funtion are shown in the graph when the y value goes up (positive slope) and vice versa.

The negative part of the function should be (3,-2) and (2,4] since (4, 5] is not defined and there is no indication for its negative-ness.