17. The height of a ball thrown from the top of a cliff can be approximated by the formula h(t) = −5t² + 15t + 20 where t is time in seconds and h is height in metres. a) Describe the end behaviour of this function assuming there are no restrictions on the domain. b) Determine the height of the ball after 2 s. c) Determine the maximum height of the ball. d) What are the restrictions on the domain of this function? Explain why there are restrictions.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
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17. The height of a ball thrown from the top of a cliff can be approximated by the formula
h(t) = −5t² + 15t + 20 where t is time in seconds and h is height in metres.
a) Describe the end behaviour of this function assuming there are no restrictions on the
domain.
b) Determine the height of the ball after 2 s.
c) Determine the maximum height of the ball.
d) What are the restrictions on the domain of this function? Explain why there are
restrictions.
Transcribed Image Text:17. The height of a ball thrown from the top of a cliff can be approximated by the formula h(t) = −5t² + 15t + 20 where t is time in seconds and h is height in metres. a) Describe the end behaviour of this function assuming there are no restrictions on the domain. b) Determine the height of the ball after 2 s. c) Determine the maximum height of the ball. d) What are the restrictions on the domain of this function? Explain why there are restrictions.
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