Question

At which value in the domain does f(x)=0 ?

Answer 1

f(x)=0

Domain are the set of x values

f(x)=0 , we find all the x values where y =0

At x intercepts y is always 0

so we find all the x intercepts.

x intercepts are the points where the graph crosses x axis

In the graph we can see that the graph crosses x axis at

-2.5 , -0.75 and 1

-2.5 , -0.75 and 1 are the domain where f(x)=0

Answer 2

The domain at which the function $f\left( x \right) = 0 \:{\text{is}\: \boxed{ - 2.5, - 0.75{\text{ and 1}}}.$

Further explanation:

Explanation:

The output values of the function are known as range and the input values on which function is defined is known as the domain of the function.

The x coordinates are the domain of the function and the y coordinates are the range of the function.

The one-to-one function is a function in which every value of the range has exactly one pre-image in the domain.

On x-axis the value of the function is zero.

From the graph it has been observed that the graph intersects the x-axis at $- 2.5, - 0.75{\text{ and 1}}.$

Therefore, the domain of the function for which its value is zero is $- 2.5, - 0.75{\text{ and 1}}.$

The domain at which the function $f\left( x \right) = 0\: {\text{is}\: \boxed{ - 2.5, - 0.75{\text{ and 1}}}.$

Learn more:

1. Learn more about inverse of the function brainly.com/question/1632445.

2. Learn more about range of the function brainly.com/question/1435353.

3. Learn more about range and domain of the function brainly.com/question/3412497.

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Relation and Function

Keywords: domain, range, function, value, f(x)=0, x-values, y-values, x-intercepts, points, graph, x-axis, y-axis.