Math I Lab LT 13

Front

What is the definition of slope in a linear function?

Back

The slope of a linear function is a measure of the steepness of the line, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise over run).

Front

How do you determine which linear function has the greatest slope?

Back

To determine which linear function has the greatest slope, compare the coefficients of the x-term in the function's equation. The function with the highest coefficient has the greatest slope.

Front

What is an initial value in the context of linear functions?

Back

The initial value of a linear function is the y-intercept, which is the value of y when x is zero.

Front

How do you compare initial values of different linear functions?

Back

To compare initial values, look at the y-intercepts of the functions. The function with the highest y-intercept has the greatest initial value.

Front

What is a y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented by the value of y when x equals zero.

Front

How do you order functions based on their y-intercepts?

Back

To order functions based on their y-intercepts, identify the y-intercept of each function and arrange them from the lowest to the highest value.

Front

What does rate of change refer to in linear functions?

Back

The rate of change in a linear function refers to the slope, indicating how much y changes for a unit change in x.

Front

How can you find the rate of change from a graph?

Back

To find the rate of change from a graph, select two points on the line, calculate the difference in y-coordinates and the difference in x-coordinates, and divide the change in y by the change in x.

Front

What is the significance of comparing rates of change between two functions?

Back

Comparing rates of change helps determine which function increases or decreases more rapidly, providing insight into their behavior over time.

Front

What does it mean for a tree to be the tallest when first planted?

Back

Being the tallest when first planted means that at the initial time of planting, that tree had the highest height compared to others.