Use the graph of f to determine each of the following. Where...

Use the graph of $f$ to determine each of the following. Where applicable, use interval notation.
$$
\begin{array}{l}{\text { a. the domain of } f} \\ {\text { b. the range of } f} \\ {\text { c. } f(-4)} \\ {\text { d. the values of } x \text { for which } f(x)=-3}\end{array}
$$

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Key Concepts

Domain

The domain of a function refers to the complete set of possible input values (usually x-values) for which the function is defined. In the context of graph analysis, it is derived from the horizontal extent of the graph where the function has valid outputs.

Range

The range of a function is the set of all possible output values (usually y-values) that the function can produce. It is determined by the vertical spread of the graph, capturing every y-value the function reaches.

Function Evaluation

Function evaluation involves determining the output of a function for a specified input value. This process, often done by inspecting the graph, requires locating the x-coordinate corresponding to a given point and then reading the associated y-value.

Solving Equations Using Graphs

Solving equations using graphs typically means finding the inputs (x-values) that give a particular output (y-value) when substituted into the function. For example, to solve f(x) = -3, one would identify all x-values on the graph where the function's value equals -3.

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