M3 Unit 3 Review (2024)

Front

What is the y-intercept of a function?

Back

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

Front

How do you find the inverse of a function?

Back

To find the inverse of a function f(x), swap x and y in the equation and solve for y.

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

How do you determine if two functions are inverses of each other?

Back

Two functions f and g are inverses if f(g(x)) = x and g(f(x)) = x for all x in the domain.

Front

What is direct variation?

Back

Direct variation describes a relationship where one variable is a constant multiple of another, expressed as y = kx, where k is a non-zero constant.

Front

How do you calculate the slope of a line?

Back

The slope (m) of a line is calculated as m = (y2 - y1) / (x2 - x1) between two points (x1, y1) and (x2, y2).

Front

What is the formula for finding the inverse of a linear function?

Back

For a linear function y = mx + b, the inverse is given by y = (x - b) / m.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it never assigns the same value to two different domain elements, ensuring a unique output for each input.

Front

How do you graph a piecewise function?

Back

To graph a piecewise function, plot each sub-function on its specified interval and ensure to use open or closed dots as needed.

Front

What is the significance of the slope-intercept form of a linear equation?

Back

The slope-intercept form, y = mx + b, clearly shows the slope (m) and the y-intercept (b) of the line.