Mathematics (US) - 0444 CIE

Construct Linear And Exponential Functions

Akopọ

Two patterns of growth shape an enormous amount of the world. Linear growth adds the same amount each step, like saving a fixed sum every week. Exponential growth multiplies by the same factor each step, like money earning compound interest. Telling them apart, and writing a function for each, is a key modeling skill.

In this lesson you will construct linear and exponential functions, including arithmetic and geometric sequences, from a graph, a description or a table of values. The test is simple: a constant difference signals a linear function, a constant ratio signals an exponential one.

Awọn Afojusun

  1. Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description or a table of values.

Akọ̀wé Ẹ̀kọ́

Deciding whether change is linear or exponential is one of the most consequential judgments in applied mathematics. Savings, populations and the spread of information often grow exponentially, while steady additions grow linearly. Building the right function lets you make sound predictions.

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Ìdánwò Ẹ̀kọ́

Oriire fun ipari ẹkọ lori Construct Linear And Exponential Functions. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.

Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.

Lo ise abala yii gege bi anfaani lati mu oye re lori koko-ọrọ naa lagbara ati lati ṣe idanimọ eyikeyi agbegbe ti o le nilo afikun ikẹkọ. Maṣe jẹ ki awọn italaya eyikeyi ti o ba pade da ọ lójú; dipo, wo wọn gẹgẹ bi awọn anfaani fun idagbasoke ati ilọsiwaju.

  1. A constant difference between successive outputs signals which kind of function? A. linear B. exponential C. quadratic D. inverse Answer: A
  2. The table x = 0,1,2,3 with y = 5,8,11,14 gives the function: A. f(x) = 5x + 3 B. f(x) = 3x + 5 C. f(x) = 8x D. f(x) = 2 * 3^x Answer: B
  3. A constant ratio between successive outputs signals which kind of function? A. linear B. exponential C. arithmetic D. constant Answer: B
  4. The table x = 0,1,2,3 with y = 2,6,18,54 gives the function: A. f(x) = 2x + 4 B. f(x) = 4x + 2 C. f(x) = 2 * 3^x D. f(x) = 3 * 2^x Answer: C
  5. The sequence 2, 6, 18, 54 is: A. arithmetic B. geometric C. linear D. constant Answer: B

O wa lori ohun elo Green Bridge

Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

Awọn akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
Oluranlọwọ ẹkọ ti AI ṣe agbara rẹ
Kọ ẹkọ laisi intanẹẹti, nigbakugba, nibikibi
O wa lori Android, Windows, macOS, ati Linux

O wa lori ohun elo Green Bridge

Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

Awọn akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
Oluranlọwọ ẹkọ ti AI ṣe agbara rẹ
Kọ ẹkọ laisi intanẹẹti, nigbakugba, nibikibi
O wa lori Android, Windows, macOS, ati Linux

Ṣe Adaṣe Awọn Ibeere Idanwo Adaṣe

Ṣe o fẹ ṣe adaṣe awọn ibeere idanwo adaṣe nipa Construct Linear And Exponential Functions? Ṣe igbasilẹ ohun elo Green Bridge CBT lati wọle si awọn ibeere idanwo adaṣe ati awọn ayẹwo adaṣe kikun fun koko-ọrọ yii.

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