Integrated 1 - Topic 3 Review

Front

What is the general form of a linear function?

Back

A linear function can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

The slope (m) can be determined by taking the difference in the y-values divided by the difference in the x-values between two points on the line.

Front

What is a residual in the context of linear regression?

Back

A residual is the difference between the observed value and the predicted value from a regression line.

Front

How do you find the explicit formula for an arithmetic sequence?

Back

The explicit formula for an arithmetic sequence can be found using a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the constant amount that each term increases or decreases by in an arithmetic sequence.

Front

How do you solve for x in a linear equation?

Back

To solve for x in a linear equation, isolate x on one side of the equation using algebraic operations.

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 determine the domain of a function given a set of discrete values?

Back

The domain can be determined by listing all the x-values for which the function has corresponding y-values.

Front

What is the significance of the y-intercept in a linear function?

Back

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

Front

How can you verify if a point lies on a given linear function?

Back

To verify if a point (x, y) lies on a linear function f(x), substitute x into the function and check if f(x) equals y.