Question

Select ALL statements that are true about this function Increase from (-3, 1)Increases from (1, 3)Increases from (5, 10)Decreases from (-3, 1)Decreases from (1, 3)Decreases from (5, 10)Decreases from (3, 5)Constant from (5, 10)Constant from (3, 5)Constant from (-3, 1)

Answer 1

The function is said to be increasing if value function increases with increase in value of dependent variable and funcion decreases if value of function decreases with increase is dependent varaible.

The function is constant if its value remain same for the change in value of x.

So from the graph it can be observed that value of function decrease for increase in value of x from -3 to 1. Thus decreases in (-3,1).

For increase in x from 1 to 3, the value of function increases. So function increases for (1,3).

For x from 3 to 5, the function value is constant so function is constant for (3,5).

For increase in x from 5 to 10, the value of function decrease. So function decreases for (5,10).

Thus correct option are,

Decreases from (-3,1)

Increases from (1,3)

Constant from (3,5)

Decreases from (5,10)