A1-Unit 3 Linear Functions Review

Front

What is a linear function?

Back

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

Front

What does the slope of a line represent in a linear function?

Back

The slope of a line represents the rate of change of the function. It indicates how much the output (y) changes for a unit change in the input (x).

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the line crosses the y-axis. It is the value of f(x) when x = 0.

Front

How do you determine if a relation is a function?

Back

A relation is a function if each input (x-value) is associated with exactly one output (y-value).

Front

What is the line of best fit?

Back

The line of best fit is a straight line that best represents the data on a scatter plot. It minimizes the distance between the line and all the points.

Front

How can 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 f(x).

Front

What does a positive correlation in a graph indicate?

Back

A positive correlation indicates that as one variable increases, the other variable also increases.

Front

What is the purpose of using a trend line in data analysis?

Back

A trend line is used to show the general direction of data points in a scatter plot, helping to identify patterns or relationships between variables.

Front

How can you estimate values using a trend line?

Back

You can estimate values by locating the x-value on the trend line and reading the corresponding y-value.

Front

What is the significance of the temperature in the context of the theme park's guest estimation?

Back

The temperature is an independent variable that influences the dependent variable, which is the number of guests expected at the theme park.