What is Extrapolation? Define With Example | NCERT Maths Concept

What Is Extrapolation? Define With Example | NCERT Maths Concept

By Team Aakash Byju's

Extrapolation is an estimation of a value based on extending the known factors beyond the known area.

[{"selector":"#anim-1ddd18c3-57f1-4130-8e05-abf295b18c6b","keyframes":{"opacity":[0,1]},"delay":0,"duration":1300,"easing":"cubic-bezier(.3,0,.55,1)","fill":"both"}] [{"selector":"#anim-08d4f7b3-5e63-4837-8e26-0ca3b031d6a0","keyframes":{"transform":["scale(0.3333333333333333)","scale(1)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(.3,0,.55,1)","fill":"forwards"}]

In daily life, extrapolation is understanding the road’s condition by looking further at our sight.

[{"selector":"#anim-09a141f4-e279-49fc-a6a7-7df78abaccde","keyframes":{"opacity":[0,1]},"delay":0,"duration":1300,"easing":"cubic-bezier(.3,0,.55,1)","fill":"both"}] [{"selector":"#anim-c35b9fe5-ad7e-4ad1-ba57-476f20b01ec8","keyframes":{"transform":["scale(0.3333333333333333)","scale(1)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(.3,0,.55,1)","fill":"forwards"}]

Click Here To Attend Free Trail Class

[{"selector":"#anim-15b342e6-9c60-4a8f-9bca-05e32ddc63bb","keyframes":[{"offset":0,"transform":"translate3d(0, -707.778%, 0)","easing":"cubic-bezier(.5, 0, 1, 1)"},{"offset":0.29,"transform":"translate3d(0, 0%, 0)","easing":"cubic-bezier(0, 0, .5, 1)"},{"offset":0.45,"transform":"translate3d(0, -199.0271736%, 0)","easing":"cubic-bezier(.5, 0, 1, 1)"},{"offset":0.61,"transform":"translate3d(0, 0%, 0)","easing":"cubic-bezier(0, 0, .5, 1)"},{"offset":0.71,"transform":"translate3d(0, -67.6635768%, 0)","easing":"cubic-bezier(.5, 0, 1, 1)"},{"offset":0.8,"transform":"translate3d(0, 0%, 0)","easing":"cubic-bezier(0, 0, .5, 1)"},{"offset":0.85,"transform":"translate3d(0, -25.409230200000003%, 0)","easing":"cubic-bezier(.5, 0, 1, 1)"},{"offset":0.92,"transform":"translate3d(0, 0%, 0)","easing":"cubic-bezier(0, 0, .5, 1)"},{"offset":0.96,"transform":"translate3d(0, -11.0413368%, 0)","easing":"cubic-bezier(.5, 0, 1, 1)"},{"offset":1,"transform":"translate3d(0, 0%, 0)","easing":"cubic-bezier(0, 0, .5, 1)"}],"delay":0,"duration":1300,"fill":"both"}] Download Aakash App

Real-Life Examples

[{"selector":"#anim-62b8ca67-b23e-4ddd-9e66-14ff08d78e50","keyframes":{"opacity":[0,1]},"delay":0,"duration":1300,"easing":"cubic-bezier(.3,0,.55,1)","fill":"both"}] [{"selector":"#anim-0d02d181-f9b3-4b82-9b56-978bbef0db41","keyframes":{"transform":["scale(0.3333333333333333)","scale(1)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(.3,0,.55,1)","fill":"forwards"}] [{"selector":"#anim-2e16af7f-e919-4fb9-a1bc-2d6dde220701","keyframes":{"opacity":[0,1]},"delay":0,"duration":1300,"easing":"cubic-bezier(.3,0,.55,1)","fill":"both"}] [{"selector":"#anim-b8b053dc-ec5f-4a8d-881d-5bb54ce853ff","keyframes":{"transform":["scale(0.3333333333333333)","scale(1)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(.3,0,.55,1)","fill":"forwards"}]

For any two endpoints, (x1, y1) and (x2, y2), the extrapolation (x, y) can be found by the formula:

[{"selector":"#anim-b1b02dd7-d596-479f-bfba-f14450276162","keyframes":{"opacity":[0,1]},"delay":0,"duration":1300,"easing":"cubic-bezier(.3,0,.55,1)","fill":"both"}] [{"selector":"#anim-cdf6b33c-f041-479d-a540-0377baf7ac30","keyframes":{"transform":["scale(0.3333333333333333)","scale(1)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(.3,0,.55,1)","fill":"forwards"}]

For example:

[{"selector":"#anim-c7f1b8c9-f8a0-4f9d-9ed9-eb47ceb577f8","keyframes":{"opacity":[0,1]},"delay":0,"duration":1300,"easing":"cubic-bezier(.3,0,.55,1)","fill":"both"}] [{"selector":"#anim-bcac00f6-562a-4c5e-a408-670b3c52f2a8","keyframes":{"transform":["scale(0.3333333333333333)","scale(1)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(.3,0,.55,1)","fill":"forwards"}] [{"selector":"#anim-e9110cc7-1516-441c-adde-85cf6bc86ea6","keyframes":{"opacity":[0,1]},"delay":0,"duration":1300,"easing":"cubic-bezier(.3,0,.55,1)","fill":"both"}] [{"selector":"#anim-6d578c07-e794-447f-94eb-0d04b45f0ce2","keyframes":{"transform":["scale(0.3333333333333333)","scale(1)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(.3,0,.55,1)","fill":"forwards"}]

Use the extrapolation formula and substitute the above value we get the answer as y = 14.

[{"selector":"#anim-4a23841d-1947-4687-8ae3-b41c6ae760ed","keyframes":{"opacity":[0,1]},"delay":0,"duration":1300,"easing":"cubic-bezier(.3,0,.55,1)","fill":"both"}] [{"selector":"#anim-ca401b10-95d6-487f-a38e-290674f9f553","keyframes":{"transform":["scale(0.3333333333333333)","scale(1)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(.3,0,.55,1)","fill":"forwards"}]