October 29, 2013
Precalc Warm Up #
8-1
Get in to groups to do the
following warm up
A right triangle is formed in the first quadrant by the x
and y axis and a line through (2,5). Write the area of
the triangle as a function of x. This means that you are
to find a formula for area in
.
terms of x only. Find the
(0,Y)
domain of this function.
(2,5)
.
(X, 0)
Find area when x = 8
October 29, 2013
A right triangle is formed in the first quadrant by the x
and y axis and a line through (2,5). Write the area of
the triangle as a function of x. This means that you are
to find a formula for area in terms of x only. Find the
domain of this function.
.
(0,Y)
(2,5)
.
(X, 0)
Find area when x = 8
October 29, 2013
A right triangle is formed in the first quadrant by the x
and y axis and a line through (2,5). Write the area of
the triangle as a function of x. This means that you are
to find a formula for area in terms of x only. Find the
domain of this function.
.
(0,Y)
(2,5)
.
(X, 0)
October 29, 2013
A right triangle is formed in the first quadrant by the x
and y axis and a line through (2,5). Write the area of
the triangle as a function of x. This means that you are
to find a formula for area in terms of x only. Find the
domain of this function.
.
(0,Y)
(2,5)
.
Find area when x = 8
(X, 0)
October 29, 2013
HW Questions?
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A relation is simply a relationship between variables. A
FUNCTION is a relation where each element x in the
domain has one element y in the range.
domain = x = input = independent variable
range = y = output = dependent variable
Tell if in the following relations, is y a function of x?
a. (1,2) (2,3) (3,2)
Yes, an input of 1 has only one output (2)
an input of 2 has only one output (3)
an input of 3 has only one output (2)
b. (1,2) (2,3) (1,4)
No, the input 1 has two different outputs (2 and 4)
Identify the equations that determine y as a function of x.
c. x2 + y = 1
d. x + 4y2 = 1
yes, any input for x will have only
one output. Ex: 4--> -15
No, an input could have two different outputs.
Ex: -3 ---> 1 or -1
October 29, 2013
If y is a function of x, we use function notation. Instead of
y = x2 - 5
we write
What is the domain?
all reals
find f(-3)
find f(x+3)
f(x) = x2 - 5
What is the range?
October 29, 2013
f(x) is called a "piecewise" graph.
Find f(3) and f(-2)
Graph:
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In groups..
Find domain and range of the following functions
1.
2.
g(x)=
3. Area of circle=
October 29, 2013
In groups..
Find domain and range of the following functions
1.
2.
g(x)=
3. Area of circle=
October 29, 2013
f(x) = x2 - 4x + 7
Find
October 29, 2013
#8-1 p. 129 box on 5, 9 and 13 do only a and c
HW quiz tomorrow.