1. Let f(x) = -(x – 3)2 + 1. Find the vertex. Give the range of the function.2. What is the largest rectangular area one can enclose with 20 inches of string?3. The height, h, of a projectile above the ground t seconds after liftoff is given by the function,h(t) = -3t? + 72t, for 0 15. Write and solve an inequality involving absolute values for the given statement:Find all real numbers x so that 2x is within 3 units of -2.

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Answered: 1. Let f(x) = -(x - 3)2 + 1. Find the…

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1. Let f(x) = -(x - 3)2 + 1. Find the vertex. Give the range of the function.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter5: Polynomial And Rational Functions

Section: Chapter Questions

Problem 6PT: Solve the following application problem. A rectangular field is to be enclosed by fencing. In...

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Concept explainers

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.

Question

1. Let f(x) = -(x – 3)2 + 1. Find the vertex. Give the range of the function.
2. What is the largest rectangular area one can enclose with 20 inches of string?
3. The height, h, of a projectile above the ground t seconds after liftoff is given by the function,
h(t) = -3t? + 72t, for 0 <t< 24. When does the projectile reach its maximum height above the
ground? What is the maximum height?
4. Solve the inequality using sign diagrams: 2x? –- 3x > 1
5. Write and solve an inequality involving absolute values for the given statement:
Find all real numbers x so that 2x is within 3 units of -2.

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