Notes 2.1: Representing Relations and Functions
Vocabulary:
relation –
domain –
range –
function –
equation in 2 variables –
linear function –
vertical line test function notation Representing Relations:
Ex 1: Consider the relation given by the ordered pairs (-2, -3), (-1, 1), (1, 3), (2, -2), (3, 1).
a. Identify the domain and range
b. Represent the relation using a graph and a mapping diagram
Ex 2: Tell whether each relation is a function. Explain.
a.
b.
Ex 3: Graph y = -2x – 1
Ex 4: Tell whether each function is linear. Then evaluate the function when x = -4 .
a. f(x) = -x2 – 2x + 7
b. g(x) = 5x + 8
Ex 5: A diver using a Diver Propulsion Vehicle descends to a depth of 130 feet. The pressure P (in
atmospheres) on the diver is given by P(d) = 1 + 0.03d where d is the depth (in feet). Graph the function, and
determine a reasonable domain and range. What is the pressure on the diver at a depth of 33 feet?
HW: pgs 76-79 #1 – 49 odds