Module 28: Functions and Sequences

Question 1

Domain of a function

Answer 1

The set of all possible INPUTS of the function

Question 2

Range of a function

Answer 2

The set of all possible OUTPUTS of the function

Question 3

Limitations of the domain of a function (2)

Answer 3

1) We can’t divide by 0

2) We can’t take the square root of a negative number

Question 4

How to solve a compound function

Answer 4

Work from the inside out

Question 5

Range of f(x) = kx^n + c

Answer 5

If k > 0, range is all real numbers >= c

If k < 0, range is all real numbers <= c

Question 6

In order to find the solution to a recursive formula for X, we must know ____

Answer 6

the value of each step before X.

Question 7

arithmetic sequence

Answer 7

A sequence in which the “common difference” (value) between each number is the same.

Question 8

Sum of first N terms in an arithmetic (constant) sequence

Answer 8

Sn = n/2 (a1 + an)

n = number of terms
a1 = first term
an = final term

Question 9

Geometric sequence

Answer 9

A sequence in which the difference between each number forms a “common ratio.” (multiplies the previous term by X)