What is the range? How would I find it?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.1: Functions And Function Notation
Problem 8TI: Using Figure 7, solve f(x)=1 .
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What is the range? How would I find it?

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Step 1

If y=-5t2+14t+3

The range is all possible values of y. 

 

This is an equation of a parabola.

Since the lead coefficient -5, is negative here, so the parabola will face downwards. This parabola will have maximum at the vertex. 

Vertex is at t=-142(-5)=1.4

 

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