Integrated 1 - Topic 3 Review

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input from its domain.

Front

How do you determine if a relation is a function?

Back

A relation is a function if every input (x-value) corresponds to exactly one output (y-value). This can be checked using the vertical line test on a graph.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

How do you find the value of x for a given function g(x)?

Back

To find the value of x for a given function g(x), set g(x) equal to the desired output and solve for x.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept of a linear function?

Back

The y-intercept of a linear function is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

How can you determine the equation of a line of best fit?

Back

The equation of a line of best fit can be determined using statistical methods such as least squares regression, which minimizes the distance between the data points and the line.

Front

What is the significance of the line of best fit in data analysis?

Back

The line of best fit helps to summarize the relationship between two variables in a dataset, allowing for predictions and insights.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, characterized by a constant rate of change.