Determine a graph which have x-intercepts, Algebra

Assignment Help:

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.


Related Discussions:- Determine a graph which have x-intercepts

Integral probability , The integral arises in probability theory. ...

The integral arises in probability theory. (a) Consult the library or Internet to find how this integral relates to the calculationof a probability using the Normal dist

I dont grasp it, please help I just done grasp algebra

please help I just done grasp algebra

Math 092, A student''s tuition was $3008. A loan was obtained for 7/4 of th...

A student''s tuition was $3008. A loan was obtained for 7/4 of the tuition. How much was the loan? The student''s loan was for?

Logarithm, 4Log5n - log5m = 1 5log5m + 3log5m =14

4Log5n - log5m = 1 5log5m + 3log5m =14

Quadratic function, Which shows the quadratic function f(x) = 2(x - 4)2 - ...

Which shows the quadratic function f(x) = 2(x - 4)2 - 7 in standard form?

, find the inverse function f(x)=log12(x

find the inverse function f(x)=log12(x)

FACTORING, HOW TO FACTOR THE GIVEN

HOW TO FACTOR THE GIVEN

Growth and Decay Models, The population of a city was 141 thousand in 1992....

The population of a city was 141 thousand in 1992. The exponential growth rate was 1.6% per year. Find the exponential growth function in terms of t,where t is the number of years

Permutations, How many ways can five people line up if two of them cannot s...

How many ways can five people line up if two of them cannot sit together?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd