Use the graph to determine a. the function's domain; b. the...

Use the graph to determine a. the function's domain; b. the function's range; c. the $x$ -intercepts, if any; d. the y-intercept, if any; and e. the missing function values, indicated by question marks, below each graph.
(Graph can't copy)
$$
f(-4)=? \quad f(3)=?
$$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Domain

The domain of a function is the complete set of input values for which the function is defined. When analyzing a graph, the domain is identified by looking at the horizontal span of the graph, which indicates all x-values that have corresponding points on the graph.

Range

The range of a function consists of all the output values the function can produce. On a graph, this is determined by the vertical extent of the plotted points, showing all y-values that the function attains.

x-intercepts

x-intercepts are the points where the function crosses the x-axis, meaning the output is zero at these points. These are found by identifying the points on the graph where the y-coordinate is 0.

y-intercepts

The y-intercept is the point where the function crosses the y-axis, which occurs when the input value is zero. On the graph, it is the point at which the line or curve meets the vertical axis.

Graphical Function Evaluation

Graphical function evaluation involves reading a function's value directly from its graph for a given input. This technique is used to determine missing function values or to verify specific function outputs by locating the x-value on the horizontal axis and examining the corresponding y-value on the graph.

Please give Ace some feedback