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No vertical line should cross the graph more than once
If it does the graph does not represent the function, it represents the relation.
If the vertical line crosses the graph more than once it is not a function.
EX) 2 a graph is given
Y= f(0)=4; f(3x/2)=0;f(3x)
The graph captures this point on the x-axis
a)The domain of function F is all the real numbers of zero and 4 pi
b)f=[0,4x] domain
c)What is the range of f? Rf=[-4,4]
d)x interceptss are (x/2, 0);(3x/2,0);(5x/2,0);(7x/2,0)
the graph of a function cannot have more than one Y intercept.
e) the line of Y intercepts the graph four times.
f)for what values of x does f(x)=-4 when x is pi and x=3pi
g) For what values of x is f(x)>0?
-Bigger than zero means positive.
[0, x/2)
Next to pi over 2, you need to put the ()
y=f(x/2)=0
For what values of X does does x = pi
The equation of a function is given. This is a formula that gives us rain over the range
Polynomail over polinomail is a ratinal function.
The defnition of domain, is the set of all the real numbers that can be used in place of X
When x is two, x is negative zero
any number that is bigger than negative 2 is a domain
set builder notation, interval notation.
touches or intercepts the x axis, whos equation is Y=0
to find the x-intercepts, let Y=0: 0=x=1/x=2 or put 0/1=x=1/x+2
1 times x=1 x=1=0 subtract one from each side of the equation x=-1 x-intercepts(-1, 0)
done with the section, no homework not due on monday. On 8:40 we will have the test on Monday. We will have review before test but not of the test. Homework for math 1-31 ODD 1, 3 , 5, 7 Due by march 6th by 11:59 pm
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