Features of Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the maximum height of a function's graph?

Back

The maximum height is the highest point on the graph of the function, representing the maximum value of the function.

Front

What is a y-intercept?

Back

The y-intercept is the point where the graph of a function intersects the y-axis, represented as (0, y).

Front

How do you find 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 does the notation 1 ≤ y ≤ 5 represent?

Back

This notation indicates that the range of the function includes all y-values from 1 to 5, inclusive.

Front

What is a minimum of a function's graph?

Back

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

Front

How do you determine the y-intercept from a function's equation?

Back

To find the y-intercept, set x = 0 in the function's equation and solve for y.

Front

What is the difference between maximum and minimum values?

Back

The maximum value is the highest point on the graph, while the minimum value is the lowest point.

Front

What does the term 'domain' refer to in functions?

Back

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

Front

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

Back

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