Math CBA Review Dec.

Front

What is a function in mathematics?

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

How can you determine if a set of ordered pairs represents y as a function of x?

Back

A set of ordered pairs represents y as a function of x if no two different ordered pairs have the same x-value.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, then it is not a function.

Front

What does it mean for y to be a function of x?

Back

It means that for every value of x, there is exactly one corresponding value of y.

Front

What is a proportional relationship?

Back

A proportional relationship is one where the ratio of y to x is constant, which can be expressed in the form y = kx, where k is a constant.

Front

Identify the equation that represents a proportional relationship: y = 5x + 1, y = 4x - 3, y = 7x, y = 2x + 7.

Back

y = 7x is a proportional relationship because it can be expressed in the form y = kx.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on a coordinate plane, typically written in the form (x, y).

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run between two points on the line.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.