Key Features of Graphs

Front

What are the zeros of a graph?

Back

The zeros of a graph are the x-values where the graph intersects the x-axis, meaning the output (y-value) is zero.

Front

How do you find the y-intercept of a graph?

Back

The y-intercept is found by determining the point where the graph intersects the y-axis, which occurs when x = 0.

Front

What is the domain of a graph?

Back

The domain of a graph is the set of all possible x-values that can be input into the function.

Front

What is a minimum point on a graph?

Back

A minimum point is the lowest point on the graph, where the function value is less than or equal to all other nearby points.

Front

What does it mean for a graph to be increasing?

Back

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

Front

What is the range of a graph?

Back

The range of a graph is the set of all possible y-values that the function can output.

Front

How do you identify intervals of increase and decrease on a graph?

Back

Intervals of increase are where the graph rises as you move from left to right, while intervals of decrease are where the graph falls.

Front

What is the significance of the vertex in a quadratic graph?

Back

The vertex is the highest or lowest point of the parabola, indicating the maximum or minimum value of the function.

Front

What does it mean for a graph to have asymptotes?

Back

Asymptotes are lines that the graph approaches but never touches, indicating behavior at infinity or undefined points.

Front

How do you determine the x-intercepts of a graph?

Back

The x-intercepts are found by solving the equation f(x) = 0, which gives the points where the graph crosses the x-axis.