A test program for grade 10 can generate quadratic functions in a standard form y = ax + bx + c where a, b, c are randomly selected from the following sets: a = {- 1,1, 2), b = (0, 4}, c [0, - 1} a) Construct a tree diagram and show all possible quadratic functions generated by this program. b) How many of the functions in part (a) have a maximum value (i.e., downward opening)?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 56E
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A test program for grade 10 can generate quadratic functions in a standard form y
= ax + bx + c
where a, b, c are randomly selected from the following sets: a = (- 1, 1, 2), b = (0, 43, c = {0, - 1}
%3D
a) Construct a tree diagram and show all possible quadratic functions generated by this program.
b) How many of the functions in part (a) have a maximum value (i.e., downward opening)?
Transcribed Image Text:A test program for grade 10 can generate quadratic functions in a standard form y = ax + bx + c where a, b, c are randomly selected from the following sets: a = (- 1, 1, 2), b = (0, 43, c = {0, - 1} %3D a) Construct a tree diagram and show all possible quadratic functions generated by this program. b) How many of the functions in part (a) have a maximum value (i.e., downward opening)?
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