Single Variable Calculus, Chapter 1, 1.1, Section 1.1, Problem 2

Given the graphs of the function $f$ and $g$. Evaluate the following:









a.) Find the values of $f(-4)$ and $g(3)$

By referring to the graph given, the values where $f(-4) = -2$ and $ g(3) = 4$

b.) For what values of $x$ is $f(x) = g(x)$
By referring to the graph given, the values of $x$ where $f(x) = g(x)$ are $x = -2$ and $ x = 2$


c.) Estimate the solution of the equation $f(x) = -1$
By referring to the graph given, the solution of equation $f(x) = -1 $ is $x = -2.9$


d.) On what interval is $f$ decreasing?
By referring to the graph given $f$ is decreasing at interval $[0,4]$


e.) State the domain and range of the following
By referring to the graph given, the domain and range of $f$ are D$[-4,4]$ R$[-2,3]$ respectively.


f.) State the domain and range of $g$
By referring to the graph given, the domain and range of $g$ are D$[-4,3]$ R$[0.5,4]$ respectively.