Unit 5 Comparing 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 does it mean to compare functions?

Back

Comparing functions involves analyzing their properties, such as growth rates, intercepts, and overall behavior to determine how they relate to each other.

Front

What is a linear function?

Back

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

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically expressed in the form y = ax^2 + bx + c, where a, b, and c are constants.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

What is the y-intercept?

Back

The y-intercept is the point where a function crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

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

Back

To find the x-intercept, set the output (y) to zero and solve for the input (x).

Front

What is a piecewise function?

Back

A piecewise function is a function defined by multiple sub-functions, each applying to a certain interval of the domain.

Front

What is the difference between increasing and decreasing functions?

Back

An increasing function has outputs that rise as inputs increase, while a decreasing function has outputs that fall as inputs increase.

Front

What is a constant function?

Back

A constant function is a function that does not change its value, represented as y = c, where c is a constant.