Green Bridge Learning Resource Nchekwa Maka Asymptotes

Gbogbo ọrọ náà

An asymptote is a line that a graph gets ever closer to but never quite touches. Spotting asymptotes tells you how a function behaves at its extremes and where it is undefined, which is essential for sketching curves like reciprocals.

In this lesson you will understand the concept of an asymptote and identify simple examples that are parallel to the axes.

Ayẹwo Ẹkọ

Ekele diri gi maka imecha ihe karịrị na Asymptotes. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.

Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.

Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.

An asymptote is a line that a curve: A. crosses once B. approaches but never touches C. is tangent to D. is parallel to always Answer: B
The graph of y = 1/x has a vertical asymptote at: A. y = 0 B. x = 0 C. x = 1 D. y = 1 Answer: B
The graph of y = 1/x has a horizontal asymptote at: A. x = 0 B. y = 0 C. y = 1 D. x = 1 Answer: B
A vertical asymptote often occurs where the function is: A. zero B. maximum C. undefined D. negative Answer: C
Simple asymptotes in this topic are: A. parallel to the axes B. diagonal C. curved D. always through the origin Answer: A