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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.
How do I solve this equation (the left side is a matrix: 0 0 -1 3 x 0 = x^2 2 0 3
Sam is twice as old as John was two years ago. If the difference between their ages be 2 years, how old is Sam today?
Example: prove that the roots of the below given polynomial satisfy the rational root theorem. P ( x ) = 12x 3 - 41x 2 - 38x + 40 = ( x - 4) (3x - 2) ( 4x +5) Solution
#can u tell me some things on rigid and non rigid transformations
Solve x =√(x+ 6) . Solution In this equation the fundamental problem is the square root. If it weren't there we could do the problem. The whole procedure that we're going
1. f(x)=-2x+7x^2
find the number of hours it would take to drive 168 miles at an average rate of 48 miles an hour. use the formula d=rt
Definition of an exponential function If b is any number like that b = 0 and b ≠ 1 then an exponential function is function in the form,
We have to note a couple of things here regarding function composition. Primary it is NOT multiplication. Regardless of what the notation may recommend to you it is simply not
I need help with my Discussion 1 for week 5 please. w^2 + 30w + 81 and ac + xc + aw^2 + xw^2 and last one is x^4 - x^3
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