Key Features of Function Graphs

Front

What is the minimum of a function graph?

Back

The minimum of a function graph is the lowest point on the graph, representing the smallest value of the function.

Front

What is the interval of increase in a function graph?

Back

The interval of increase is the range of x-values over which the function's output (y-value) is increasing.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the graph into two mirror-image halves, typically found at x = -b/(2a) for a quadratic function in the form y = ax^2 + bx + c.

Front

What are the zeros of a function?

Back

The zeros of a function are the x-values where the function's output is zero, meaning the graph intersects the x-axis.

Front

What is a maximum point on a function graph?

Back

A maximum point is the highest point on the graph, representing the largest value of the function.

Front

How do you determine the vertex of a quadratic function?

Back

The vertex can be found using the formula x = -b/(2a) and then substituting this x-value back into the function to find the corresponding y-value.

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as x increases, the value of f(x) also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as x increases, the value of f(x) decreases.

Front

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

Back

The y-intercept is the point where the graph intersects the y-axis, representing the value of the function when x = 0.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, typically in the form y = mx + b, where m is the slope and b is the y-intercept.