Evaluating Functions from Graphs

Front

What does it mean to evaluate a function from a graph?

Back

Evaluating a function from a graph means finding the output value of the function for a given input by locating the corresponding point on the graph.

Front

How do you find g(2) from the graph of g(x)?

Back

To find g(2), locate the point on the graph where x = 2, and read the corresponding y-value.

Front

What is the output of f(x) when x = -1 if the graph shows f(-1) = 0?

Back

The output of f(x) when x = -1 is 0.

Front

How do you determine f(0) from a graph?

Back

To determine f(0), find the point on the graph where x = 0 and read the y-value at that point.

Front

If f(6) = 18, what does this indicate about the function at x = 6?

Back

This indicates that when the input x is 6, the output of the function f is 18.

Front

What is the significance of the y-intercept in a function's graph?

Back

The y-intercept is the point where the graph crosses the y-axis, representing the output value when the input x is 0.

Front

What does it mean if a function is increasing on a graph?

Back

A function is increasing on a graph if, as the x-values increase, the corresponding y-values also increase.

Front

What does it mean if a function is decreasing on a graph?

Back

A function is decreasing on a graph if, as the x-values increase, the corresponding y-values decrease.

Front

How can you tell if a function has a maximum or minimum value from its graph?

Back

A maximum value occurs at a peak point on the graph, while a minimum value occurs at a valley point.

Front

What is the domain of a function as represented in a graph?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.