Question

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

Answer 1

Answer:

A) $1<x<\infty$

Step-by-step 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) $1<x<\infty$