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 x-intercept represent in a linear function?

Back

The x-intercept represents the point where the graph of the function crosses the x-axis, indicating the value of x when the output (y) is zero.

Front

How do you determine the slope of a linear function from a graph?

Back

The slope of a linear function can be determined by selecting two points on the line and using the formula (y2 - y1) / (x2 - x1).

Front

What is the significance of a positive correlation in a graph?

Back

A positive correlation indicates that as one variable increases, the other variable also increases, suggesting a direct relationship between the two.

Front

What does it mean if a graph shows no correlation?

Back

If a graph shows no correlation, it means there is no discernible relationship between the two variables, and changes in one variable do not predict changes in the other.

Front

What is the parent function of a linear equation?

Back

The parent function of a linear equation is f(x) = x, which represents a straight line with a slope of 1 and a y-intercept of 0.

Front

How do you shift a linear function vertically?

Back

To shift a linear function vertically, you add or subtract a constant from the function. For example, f(x) = x - 2 shifts the parent function down by 2 units.

Front

What is a trend line in a scatter plot?

Back

A trend line is a straight line that best represents the data points in a scatter plot, indicating the general direction of the data.

Front

How can you estimate values using a trend line?

Back

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

Front

What factors can affect the number of guests at a theme park?

Back

Factors that can affect the number of guests at a theme park include weather conditions, special events, holidays, and promotions.