Comparing 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 minimum value of a function?

Back

The minimum value of a function is the smallest output value that the function can produce.

Front

What is the maximum value of a function?

Back

The maximum value of a function is the largest output value that the function can produce.

Front

What is a y-intercept?

Back

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

Front

How do you find 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 does it mean for two functions to have the same maximum value?

Back

It means that the highest output value of both functions is equal.

Front

What is the significance of comparing minimum and maximum values of functions?

Back

Comparing minimum and maximum values helps to understand the range and behavior of the functions.

Front

What is a graph of a function?

Back

A graph of a function is a visual representation of the relationship between the input values (x) and output values (y).

Front

What does it mean if a function does not cross the y-axis?

Back

It means that the function does not have a defined output when x = 0, indicating it may be a piecewise function or has a vertical asymptote.

Front

How can you determine if one function has a larger maximum than another?

Back

By comparing the maximum output values of both functions, you can determine which one is larger.