Warm Up 11/20/2024 Key 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?

Back

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

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 is a relative minimum?

Back

A relative minimum is a point on the graph of a function where the function value is lower than the values of the function at nearby points.

Front

How do you find the x-intercepts of a function?

Back

The x-intercepts of a function are found by setting the function equal to zero and solving for x.

Front

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

Back

The y-intercept of a function is found by evaluating the function at x = 0.

Front

What is a maximum point in a function?

Back

A maximum point is a point on the graph of a function where the function value is higher than the values of the function at nearby points.

Front

What does it mean if a function has no maximum?

Back

If a function has no maximum, it means that the function continues to increase indefinitely and does not reach a highest point.

Front

What is the significance of the coordinates (1, -1) in a function?

Back

The coordinates (1, -1) indicate a relative minimum point on the graph of the function.

Front

What is the importance of identifying intercepts in a function?

Back

Identifying intercepts helps in understanding the behavior of the function and is crucial for graphing the function accurately.