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What you can say about the function by using its rule?
Function Family: Linear.
Domain: All real numbers.
Range: All real numbers.
We want to find out a few pieces of information about the given function.
Let's answer these questions!
g(x)=3x+4 We can see that given function is linear. Therefore, it belongs to the family of linear functions, with a parent function of y=x.
Unless specific restrictions are given, the domain of linear functions is usually all real numbers. Domain:& - ∞ < x < ∞
Unless specific restrictions are given, the range of linear functions is also all real numbers. Range:& - ∞ < x < ∞
To verify your answer, enter the function rule in the calculator by pushing Y= and writing the function rule in the first row. Next, by pushing GRAPH, the calculator will draw the graph of the function.
Looking at the graph, we can confirm that our solution is correct.