Practice for Function Test

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

What is the domain of the function f(x) = 3x - 8?

Back

The domain is all real numbers, or (-∞, ∞).

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

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

Back

The nth term 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 the common difference in the sequence 13, 22, 31, 40?

Back

The common difference is 9, calculated as 22 - 13.

Front

What is the formula for the line of best fit?

Back

The line of best fit can be represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a trend line?

Back

A trend line is a line that best represents the data on a scatter plot, showing the general direction of the data.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function f(x) at a specific point x = a, substitute a into the function and simplify.

Front

What is the value of f(6) for the function f(x) = 3x - 8?

Back

f(6) = 3(6) - 8 = 18 - 8 = 10.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.