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

Given the graph of the function $f$ evaluate the following:







a.) Find the value of $f(-1)$

By referring to the graph given, the value were $f(-1) = -2$


b.) Estimate the value of $f(2)$

By referring to the graph given, the value where $f(2) \approx 2.9$


c.) For what values of $x$ is $f(x) = 2$

By referring to the graph given, the values where$f(x) = 2$ are $x = -3$ and $x =1$


d.) Estimate the values of $x$ such that $f(x) = 0$

By referring to the graph given, the values where $f(x) = 0 \approx \text{at} x = 0.3$ and $x = -2.5$


e.) State the domain and range of $f$

By referring to the graph given, the domain and range of $f$ are D$[-3,3]$ R$[-2,3]$ respectively


f. ) On what interval is $f$ increasing?

By referring to the graph given, $f$ is increasing at interval $[-1,3]$