Green Bridge Learning Resource Nchekwa Maka Graphs Of Cubic Polynomials

Gbogbo ọrọ náà

A cubic given as a product of three linear factors is easy to sketch: its roots are read straight from the factors, and its shape follows a predictable pattern. From the sketch you can solve equations and inequalities at a glance.

In this lesson you will sketch the graphs of cubic polynomials and their moduli when given as a product of three linear factors, labelling the intersections with the axes.

Ayẹwo Ẹkọ

Ekele diri gi maka imecha ihe karịrị na Graphs Of Cubic Polynomials. 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.

The roots of y = (x + 2)(x - 1)(x - 3) are: A. 2, 1, 3 B. -2, 1, 3 C. -2, -1, -3 D. 2, -1, 3 Answer: B
The y-intercept of y = (x + 2)(x - 1)(x - 3) is: A. 0 B. 6 C. -6 D. 2 Answer: B
A factor (x - 3) gives a root at: A. -3 B. 0 C. 3 D. 1/3 Answer: C
To find the y-intercept of a curve you set: A. y = 0 B. x = 0 C. x = y D. x = 1 Answer: B
For a positive leading coefficient, a cubic graph: A. falls to the right B. rises to the right C. is symmetric D. is a parabola Answer: B