a parachutist jumps from a plane 3500 m above ground. the height, h, in metres of the parachutists above ground t seconds after the jump can be moddelled by the function h(t) + 3500 - 4.9t^2. a) what type of function is h(t) b) Without calculating the finite differences determine i) which finite differences are constant for this polynomial function. ii) the value of the constant finite differences explain how you found your awnsers. c) Describe the end behaviour of this function assuming there are no reestrictions on the domain d) Graph the function state any reasonable restrictions on the domain. e) what do the t-intercepts of the graph represent for this situattion

a parachutist jumps from a plane 3500 m above ground. the height, h, in metres of the parachutists above ground t seconds after the jump can be moddelled by the function h(t) + 3500 - 4.9t^2. a) what type of function is h(t) b) Without calculating the finite differences determine i) which finite differences are constant for this polynomial function. ii) the value of the constant finite differences explain how you found your awnsers. c) Describe the end behaviour of this function assuming there are no reestrictions on the domain d) Graph the function state any reasonable restrictions on the domain. e) what do the t-intercepts of the graph represent for this situattion

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.CR: Chapter Review

Problem 61E

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Question

a parachutist jumps from a plane 3500 m above ground. the height, h, in metres of the parachutists above ground t seconds after the jump can be moddelled by the function h(t) + 3500 - 4.9t^2.

a) what type of function is h(t)

b) Without calculating the finite differences determine

i) which finite differences are constant for this polynomial function.

ii) the value of the constant finite differences explain how you found your awnsers.

c) Describe the end behaviour of this function assuming there are no reestrictions on the domain

d) Graph the function state any reasonable restrictions on the domain.

e) what do the t-intercepts of the graph represent for this situattion

Expert Solution