Function Flashcard

Front

If y = x - 4, what is x if y = 7?

Back

x = 11

Front

Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...

Back

The next three terms are 61, 70, 79.

Front

What is the equation of the linear function represented by the slope of 1/4?

Back

y = x/4

Front

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...

Back

The 35th term is -146.

Front

What is the equation of the linear function with a slope of 1 and y-intercept of 12?

Back

y = x + 12.

Front

Define an arithmetic sequence.

Back

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

Front

What is the common difference in the arithmetic sequence: 5, 8, 11, 14?

Back

The common difference is 3.

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 a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of y with respect to x.