F: Functions

Functions

F.BFBuilding Functions F.IFInterpreting Functions F.LELinear, Quadratic, and Exponential Models F.TFTrigonometric Functions

Example Problems

Evaluate:

\log_3(1)

Given the following recursive formula for the sequence:

f(1) = 5

and

f(n) = f(n - 1) + n

What is

f(2)

?

For the function

y = 4 - (x - 3)^2

:
a. List the algebraic operations in order of evaluation.
b. What restrictions does each operation place on the domain of the function?
c. Give the function's domain.

Find

\lim_{x \to 0} \frac{\sin(x)}{\sin(2x)}

.

Determine whether the function is odd, even, or neither. Use algebraic methods. You may start out by looking at a graph, if you need to.

j(x) = x^3 - 4x

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