Semester 1 Review

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented in the Cartesian plane as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a linear function represent?

Back

The slope of a linear function represents the rate of change of the function. It indicates how much the y-value changes for a one-unit increase in the x-value.

Front

What is the y-intercept of a function?

Back

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

Front

How do you find the y-intercept from a linear equation?

Back

To find the y-intercept from a linear equation in the form y = mx + b, set x = 0 and solve for y. The resulting value of y is the y-intercept.

Front

What is the x-intercept of a function?

Back

The x-intercept of a function is the point where the graph of the function crosses the x-axis. It is represented as (a, 0) where a is the value of x when y = 0.

Front

How do you find the x-intercept from a linear equation?

Back

To find the x-intercept from a linear equation in the form y = mx + b, set y = 0 and solve for x. The resulting value of x is the x-intercept.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What does it mean for a function to be undefined?

Back

A function is undefined at a certain point if there is no output (y-value) for a given input (x-value). This often occurs when division by zero is involved.

Front

What is the significance of the ordered pair (0, b)?

Back

The ordered pair (0, b) represents the y-intercept of a linear function, indicating the value of y when x is zero.

Front

What is the significance of the ordered pair (a, 0)?

Back

The ordered pair (a, 0) represents the x-intercept of a linear function, indicating the value of x when y is zero.