Green Bridge Learning Resource Nchekwa Maka Modulus Functions

Gbogbo ọrọ náà

The modulus (or absolute value) of a number is its size, ignoring sign, so it is never negative. Applying the modulus to a function flips any negative part of its graph above the x-axis, producing the distinctive 'bounce' you see in modulus graphs.

In this lesson you will understand the relationship between the graph of \(y = f(x)\) and the graph of \(y = |f(x)|\), where \(f(x)\) may be linear, quadratic, cubic or trigonometric.

Ayẹwo Ẹkọ

Ekele diri gi maka imecha ihe karịrị na Modulus Functions. 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 graph of y = |f(x)| is obtained from y = f(x) by: A. reflecting in the y-axis B. reflecting the part below the x-axis up C. shifting up D. rotating Answer: B
What is the value of |{-7}|? A. -7 B. 0 C. 7 D. 49 Answer: C
The graph of y = |x - 2| has its lowest point at: A. (0, 2) B. (2, 0) C. (-2, 0) D. (0, -2) Answer: B
y = |f(x)| can never be: A. zero B. positive C. negative D. large Answer: C
For x < 2, y = |x - 2| equals: A. x - 2 B. 2 - x C. x + 2 D. 0 Answer: B