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Remember that a graph will have a y-intercept at the point (0, f (0)) . Though, in this case we have to ignore x = 0 and thus this graph will never cross the y-axis. It does get extremely close to the y-axis, but it will never cross or touch it & thus no y-intercept.
Next, remember that we can determine where a graph will have x-intercepts by solving f ( x ) = 0 .
For rational functions this might seem like a mess to deal along with. Though, there is a nice fact regarding rational functions which we can use here. A rational function will be zero at a specific value of x only if the numerator is zero at that x & the denominator isn't zero at that x. In other terms, to determine if a rational function is ever zero all that we need to do is set the numerator equal to zero & solve. Once we have these solutions we just need to check that none of them make the denominator zero as well.
In our case the numerator is one and will never be zero and so this function will have no x- intercepts. Again, the graph will get extremely close to the x-axis but it will never touch or cross it.
At last, we have to address the fact that graph gets extremely close to the x and y-axis but never crosses. Since there isn't anything special about the axis themselves we'll use the fact that the x- axis is actually the line specified by y =0 and the y-axis is really the line specified by x = 0.
if log a-b/2=1/2 (log a + log b) show that a*a+b*b=6ab
i need help on the rate of change!!
14th term 60,68,76,84,92
#question: A large grain silo is to be constructed in the shape of a circular cylinder with a hemisphere attached to the top (see the figure). The diameter of the silo is to be 30
Actually these problems are variants of the Distance/Rate problems which we just got done working. The standard equation which will be required for these problems is, As y
Completing the Square The first method we'll learning at in this section is completing the square. This is called it since it uses a procedure called completing the square in t
A thermometer reading 79 degrees F is brought into a cold storage room with a constant temperature of 38 degrees F. if the thermometer reads 70 degrees in 6minutes, how long will i
Given f ( x ) = 3x - 2 find f -1 ( x ). Solution Now, already we know what the inverse to this function is as already we've done some work with it. Though, it would be n
2x^3+y+x+2x^2y
why is the inequality symbol must be reversed when both sides of a inequality are multiplied or divided by a negative number
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