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

Pharmacy, prescription has a 35% mark up with a 5.66 dispense fee one table...

prescription has a 35% mark up with a 5.66 dispense fee one tablet is 15.70 and how much would 3 tablets cost?

Help, Need solutions to two problems, y=x+4;(-7,1) y=-1/2x+1; (4,2)

Need solutions to two problems, y=x+4;(-7,1) y=-1/2x+1; (4,2)

Hcf, how to find hcf easily

how to find hcf easily

Rational Expressions, I''m having trouble with this problem..t squared-16 d...

I''m having trouble with this problem..t squared-16 divided by t squared minus-t-20

Student, the weight of a body above the surface of earth varies inversely w...

the weight of a body above the surface of earth varies inversely with the square of the distance from the center of the earth. if maria weighs 125 pounds when she is on the surface

Combining like terms, 7x to the 2 power y -9x to the 2 power y-2x to the 2 ...

7x to the 2 power y -9x to the 2 power y-2x to the 2 power y

Example of logarithms, Example  Evaluate each of the following logarithms. ...

Example  Evaluate each of the following logarithms. (a) log1000  (b) log 1/100  (c) ln1/e  (d) ln √e (e) log 34 34 (f) log 8 1 Solution In order to do

Draw the graph parabolas, Sketch the graph parabolas. g ( x ) = 3x 2 - ...

Sketch the graph parabolas. g ( x ) = 3x 2 - 6 x + 5 Solution For this parabola we've obtain a = 3 , b = -6 and c = 5 .  Ensure that you're cautious with signs while id

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