Answer:
This is always ''interesting'' If you see an absolute value, you always need to deal with when it is zero:
(x-4)=0 ===> x=4,
so that now you have to plot 2 functions!
For x<= 4: what's inside the absolute value (x-4) is negative, right?, then let's make it +, by multiplying by -1:
|x-4| = -(x-4)=4-x
Then:
for x<=4, y = -x+4-7 = -x-3
for x=>4, (x-4) is positive, so no changes:
y= x-4-7 = x-11,
Now plot both lines. Pick up some x that are 4 or less, for y = -x-3, and some points that are 4 or greater, for y=x-11
In fact, only two points are necessary to draw a line, right? So if you want to go full speed, choose:
x=4 and x= 3 for y=-x-3
And just x=5 for y=x-11
The reason is that the absolute value is continuous, so x=4 works for both:
x=4===> y=-4-3 = -7
x==4 ====> y = 4-11=-7!
abs() usually have a cusp int he point where it is =0
Step-by-step explanation:
1) should be second option
CD→
2) None of these
Three variable terms appear in this expression. Although 9xy has two variables, they combine to make one term.
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Answer:
We are given the tangent function 
.
Firstly we know that, 
, where 
is the sine function and 
is the cosine function.
Now, tangent function will be zero when its numerator is zero.
i.e. 
when 
.
i.e. when 
, where n is the set of integers.
So, tangent function crosses x-axis at 
, n is the set of integers.
Further, tangent function will be undefined when its denominator is zero.
i.e. when 
.
i.e. when 
, where n is the set of integers.
Moreover, a zero in the denominator gives vertical asymptotes.
So, tangent function will have vertical asymptotes at 
, n is the set of integers.
Therefore, these key features gives us the graph of a tangent function as shown below.
