Characteristics of Functions

Front

What is the range of a function?

Back

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

Front

What are x-intercepts?

Back

X-intercepts are the points where the graph of a function crosses the x-axis, meaning the output (y-value) is zero.

Front

True or False: The x-intercept of a function ALWAYS has a zero as the y-coordinate.

Back

TRUE

Front

What is end behavior in functions?

Back

End behavior describes how the values of a function behave as the input (x) approaches positive or negative infinity.

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of a function crosses the y-axis, meaning the input (x-value) is zero.

Front

How do you find the range of a quadratic function?

Back

For a quadratic function in the form f(x) = ax^2 + bx + c, the range can be determined by finding the vertex and the direction the parabola opens.

Front

What does it mean if a function is increasing?

Back

A function is increasing on an interval if, as the input (x) values increase, the output (y) values also increase.

Front

What does it mean if a function is decreasing?

Back

A function is decreasing on an interval if, as the input (x) values increase, the output (y) values decrease.

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a curve is a function; if any vertical line intersects the curve more than once, it is not a function.

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).