Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

What is true of the function [tex]\( g(x) = -2x^2 + 5 \)[/tex]?

A. [tex]\( g(x) \)[/tex] is the multiplication of [tex]\( g \)[/tex] and [tex]\( x \)[/tex].
B. [tex]\( -2x^2 + 5 \)[/tex] is the input of the function.
C. The variable [tex]\( x \)[/tex] represents the independent variable.
D. The variable [tex]\( g \)[/tex] represents the input of the function.

Sagot :

GinnyAnswer
To determine the correct statement about the function [tex]\( g(x) = -2x^2 + 5 \)[/tex], let's analyze each option step by step:

1. [tex]\( g(x) \)[/tex] is the multiplication of [tex]\( g \)[/tex] and [tex]\( x \)[/tex].

This is not true. In the context of functions, [tex]\( g(x) \)[/tex] is notation that represents the value of the function [tex]\( g \)[/tex] at a specific input [tex]\( x \)[/tex]. It doesn't imply multiplication of [tex]\( g \)[/tex] and [tex]\( x \)[/tex].

2. [tex]\( -2x^2 + 5 \)[/tex] is the input of the function.

This is also incorrect. The expression [tex]\( -2x^2 + 5 \)[/tex] represents the output or value of the function, not the input. The input of the function is [tex]\( x \)[/tex].

3. The variable [tex]\( x \)[/tex] represents the independent variable.

This statement is true. In the function [tex]\( g(x) = -2x^2 + 5 \)[/tex], [tex]\( x \)[/tex] is the independent variable, which means it is the variable that can be freely changed, and it determines the output of the function.

4. The variable [tex]\( g \)[/tex] represents the input of the function.

This is incorrect. The variable [tex]\( g \)[/tex] in the notation [tex]\( g(x) \)[/tex] refers to the function itself, not the input. The input is represented by [tex]\( x \)[/tex].

Among the given options, the correct statement is:

The variable [tex]\( x \)[/tex] represents the independent variable.

So, the correct statement number is:
3.
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.