Step-by-step explanation:
This is saying " Every number possible thats less than, but not 0" so you show that
Answer:
The function 
is continuous for all real numbers
Step-by-step explanation:
To know the possible points of discontinuity of this function, we must find out when the denominator of the function is equal to 0.
The denominator is:
Then we equal 0 and clear x
for any real number.
This means that
<em>for all reals numbers</em>.
Therefore, the function is <em>continuous</em> for all real numbers, that is, it does not have discontinuities.
The graphic of this function is shown in the image
<h3>
Answer: y = -2</h3>
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Work Shown:
m = 0 is the slope
b = -2 is the y intercept
y = mx+b
y = 0x+(-2)
y = 0x-2
y = 0-2
y = -2
This line is horizontal and goes through -2 on the y axis.
Two points on this line are (0,-2) and (1,-2)
Answer:
4 and any number other than 4
Step-by-step explanation:
The first answer is 8. Solve the equation for x.
x-4 = 4-x
To get rid of the x on the right side, you must add x to both sides
(x) + x - 4 = (x) + 4 - x
On the right side x-x=0 so now you are left with 4 on the right side
On the left side x+x=2x so you have 2x-4 on the left side.
Now add 4 to both sides to get rid of the 4 on the left side.
(4) + 2x - 4 = (4) + 4
On the left side, 4-4=0 so you are left with 2x.
On the right side 4+4=8
So now you have 2x = 8. To finish solving for x, you now need to divide both sides by 2.
2x 8
---- = -----
2 2
On the left, 2 divided by 2 equals 1 so you are left with x.
On the right, 8 divided by 2 equals 4.
So now you know what X must equal 4 to make the equation TRUE.
Any number other than 4 will make the equation false.
