algebra1 EOC#3

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 for a relationship to be linear?

Back

A linear relationship is one in which the change in one variable is proportional to the change in another variable, often represented by a straight line on a graph.

Front

How do you find the slope of a line?

Back

The slope of a line is calculated by the formula: \( m = \frac{y_2 - y_1}{x_2 - x_1} \), where (x1, y1) and (x2, y2) are two points on the line.

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is the slope, which indicates how much y changes for a unit change in x.

Front

What does it mean for a function to be represented graphically?

Back

A function can be represented graphically by plotting its input-output pairs on a coordinate plane, where the x-axis represents the input and the y-axis represents the output.

Front

What is a direct variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other, expressed as \( y = kx \), where k is a non-zero constant.

Front

How do you solve for y in a linear equation?

Back

To solve for y in a linear equation, isolate y on one side of the equation using algebraic operations.

Front

What is the significance of the y-intercept 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 zero.

Front

What does the inequality y < mx + b represent?

Back

The inequality y < mx + b represents all the points below the line y = mx + b on a graph, indicating a region of solutions.

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio of the two variables remains constant, meaning that as one variable increases, the other increases at a constant rate.