Review Week 4 Test

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

What does it mean for two functions to be equal?

Back

Two functions f(x) and g(x) are equal if for every x in their domain, f(x) = g(x).

Front

How do you find the intersection of two functions graphically?

Back

The intersection of two functions occurs at the points where their graphs cross each other.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form f(x) = mx + b.

Front

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

Back

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

Front

How do you determine the slope from a linear equation?

Back

The slope can be determined from the equation in slope-intercept form as the coefficient of x.

Front

What is a sequence in mathematics?

Back

A sequence is an ordered list of numbers that follow a specific pattern or rule.

Front

What is an explicit formula for a sequence?

Back

An explicit formula allows you to calculate the nth term of a sequence directly without needing to know the previous terms.

Front

How do you find the nth term of an arithmetic sequence?

Back

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

Front

What is a line of best fit?

Back

A line of best fit is a straight line that best represents the data on a scatter plot, used to predict values.