Key Features of Graphs Practice

Front

What is the maximum height of a graph?

Back

The maximum height of a graph refers to the highest point on the graph, which is the maximum value of the function represented by the graph.

Front

What does the y-intercept represent on a graph?

Back

The y-intercept is the point where the graph intersects the y-axis, represented as an ordered pair (0, y).

Front

How do you identify the y-intercept from a function?

Back

To find the y-intercept of a function, set x = 0 and solve for y.

Front

What are increasing intervals on a graph?

Back

Increasing intervals are ranges of x-values where the function's output (y-value) is increasing as x increases.

Front

What is the domain of a function?

Back

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

Front

How do you determine the maximum height of a function graphically?

Back

The maximum height can be determined by identifying the highest point on the graph or by finding the maximum value of the function using calculus.

Front

What is the significance of the ordered pair (0, 4) in relation to a graph?

Back

The ordered pair (0, 4) indicates that the graph intersects the y-axis at the point where y = 4.

Front

What does the notation (-∞, 1) signify in terms of intervals?

Back

The notation (-∞, 1) indicates all x-values from negative infinity up to, but not including, 1.

Front

What is the difference between an open interval and a closed interval?

Back

An open interval does not include its endpoints, while a closed interval includes its endpoints.

Front

How can you find the increasing intervals of a function using its derivative?

Back

To find increasing intervals, calculate the derivative of the function and determine where the derivative is positive.