General category: Mathematics
Sub-category: Functions
Topic: Graph of functions
Introduction:
A mathematical function is a relationship between two sets, through which each element of the first set X is assigned a single element of the second set Y or none. This relationship is denoted by f and is written as y=f(x), where y is the dependent variable and x is the independent variable.
Explanation:
Consider the following graph:
By the definition of a function and according to this graph of g(x), we can see the following facts:
1) g(-3)=4
2) g(-1)= -2
We can conclude that the correct answer is:
Answer:
[tex]g(\text{ -3})=4[/tex]
and the value of x for which g(x) = -2 is:
[tex]x\text{ = -1}[/tex]
