Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
Trending News
X and Y intercepts? (amongst other things)?
I'm given 6 equations and asked for the domain, the x and y intercepts and to sketch a graph to indicate asymptotes along with finding equations for the asymptotes. Help with a couple examples? I'll post all 6 equations but I'm not really expecting anyone to show them all. If you could explain the process in one or two, that would be great.
a) f(x) = (2x)/(x-1)
b) g(x) = (3x+2)/(2x-5)
c) h(x) = (x+1)/(x-2)
d) j(x) = (4x-12)/(x+8)
e) k(x) = (8x+16)/(5x-0.5)
f) m(x) = (9x+24)/(35x-100)
.
2 Answers
- Anonymous1 decade agoFavorite Answer
Hint: x-intercept occurs where y = 0 and y-intercept occurs where x = 0.
Ex.
y-intercept
f(0) = 0/(0 - 1) = 0
x-intercept
0 = 2x/(x - 1)
2x = 0
x = 0
You try the rest by yourself. Also note that the domain must consist of values that work for certain function.
I hope this helps!
Source(s): Knowledge - 4 years ago
The area would be each and all the plausible values for x. interior the 1st equation, x-a million is interior the denominator so we don't desire x - a million = 0 so as meaning x can not be equivalent to a million. So the area is {all actual numbers apart from a million} by potential of ways, you in basic terms got here upon an asymptote additionally. The equation for the asymptote is x = a million to discover the intercepts, only substitute 0 in for x and that grants the y intercept after which substitute 0 in for y and that grants the x intercept. So, to discover the y-intercept I resolve f(0) = (0)/(0-a million) = 0 this suggests that once x = 0, y = 0 so the graph crosses the x and y axis at (0,0) enable's communicate with regard to the graph. while x strategies the asymptote ( x = a million) what is going to take place to the y fee? (x - a million) is unfavourable while x < a million so f(x) would be unfavourable additionally while 0<x<a million. in view that (x-a million) is interior the denominator, as x strategies a million, (x - a million) will become on the fringe of 0 meaning the fraction (2x)/(x-a million) decreases to unfavourable infinity the closer x gets to a million. So the graph curves right down to infinity as x strategies a million. on the different component, x > a million so the equation (x - a million) is beneficial for this reason f(x) is beneficial for x>a million. It additionally strategies useful infinity as x strategies a million from the x>a million component. ok, you %. some greater factors for x > a million and graph them. Oh, one greater element, what takes place while x < 0? Now the numerator and the denominator are unfavourable so f(x) is beneficial returned. %. some factors for x< 0 and graph those too. thank you for the interesting difficulty, desire this enables. Have a blessed day.
