Chapter 5 Practice Test 2425

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is the base, and x is the exponent. It grows or decays at a constant percentage rate.

Front

What does 'discrete' mean in mathematics?

Back

Discrete refers to distinct or separate values. In a discrete function, the variable can only take on specific values, often integers.

Front

What does 'continuous' mean in mathematics?

Back

Continuous refers to a function that can take on any value within a given range. The graph of a continuous function is unbroken.

Front

How do you find the explicit equation for a sequence?

Back

To find the explicit equation for a sequence, identify the pattern in the sequence and express it in the form t(n) = an + b, where a is the common difference.

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

What is the common difference in an arithmetic sequence?

Back

The common difference is the amount added to each term to get the next term in an arithmetic sequence.

Front

How do you find the next term in an arithmetic sequence?

Back

To find the next term in an arithmetic sequence, add the common difference to the last known term.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

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

Front

What is a sequence?

Back

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