Question

Where is the function increasing?
A)1 B)3< X C)-infinity < x < 1
D)-infinity

Answer 1

A)
`1<x<\infty`

Explanation:

Given:

A graph of a function.

When we analyze the given graph, it is of a parabola.

To find:

The interval of values of
`x` where the function is increasing.

Solution:

First of all, let us learn about the meaning of increasing and decreasing functions.

1. A function
`y=f(x)` is known as increasing in an interval
`a<x<b` when

Value of y keeps on increasing when we move from the value of x from a to b.

2. A function
`y=f(x)` is known as decreasing in an interval
`a<x<b` when

Value of y keeps on decreasing when we move from the value of x from a to b.

On analyzing the given graph , we can see that the graph is decreasing on the interval:
`-\infty<x<1`

and is increasing on the interval:
`1<x<\infty`

When we choose from the options,

The correct answer is option A)
`1<x<\infty`