Final Exam Review S1

Front

What is the independent quantity in a function?

Back

The independent quantity is the variable that represents the input or cause, which can be changed freely without depending on other variables.

Front

What is the dependent quantity in a function?

Back

The dependent quantity is the variable that represents the output or effect, which depends on the value of the independent quantity.

Front

What defines 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, where m is the slope and b is the y-intercept.

Front

What is a quadratic function?

Back

A quadratic function is a function that can be expressed in the form y = ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is an exponential function?

Back

An exponential function is a function of the form y = ab^x, where a is a constant, b is a positive real number, and x is the exponent.

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

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 identify a sequence as arithmetic, geometric, or neither?

Back

To identify a sequence, check if the difference between terms is constant (arithmetic), if the ratio between terms is constant (geometric), or if neither condition is met (neither).

Front

What is the common ratio in a geometric sequence?

Back

The common ratio is the factor by which each term of a geometric sequence is multiplied to get the next 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: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.