Algebra 1 - Chapter 4, Test

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions for different intervals of the input variable.

Front

How do you write a function in point-slope form?

Back

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a unit change in x.

Front

What is the y-intercept of a line?

Back

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

Front

How do you interpret the slope in a real-world context?

Back

In a real-world context, the slope indicates how one quantity changes in relation to another. For example, if the slope represents test scores per hour studied, it shows how much the score increases for each additional hour of study.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x) is associated with exactly one output (y). A relation can have multiple outputs for a single input.

Front

How do you find the value of a function at a specific point?

Back

To find the value of a function at a specific point, substitute the x-value into the function's equation and solve for y.

Front

What is the significance of the domain and range of a function?

Back

The domain of a function is the set of all possible input values (x), while the range is the set of all possible output values (y). Understanding the domain and range helps to identify the limits of the function.

Front

What is a linear equation?

Back

Front

How do you determine if a relation is a function?

Back

To determine if a relation is a function, check if any input (x-value) is associated with more than one output (y-value). If it is, then it is not a function.