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A test program for grade 10 can generate quadratic functions in a standard form y = where a, b, c are randomly selected from the following sets: a = {- 1,1, 2), b = (0, 4), a) Construct a tree diagram and show all possible quadratic functions generated b) How many of the functions in part (a) have a maximum value (i.e., downward c) What is the probability that a quadratic function randomly generatod by this pr - a minimum value? - has 2 x-intercepts?

A test program for grade 10 can generate quadratic functions in a standard form y = where a, b, c are randomly selected from the following sets: a = {- 1,1, 2), b = (0, 4), a) Construct a tree diagram and show all possible quadratic functions generated b) How many of the functions in part (a) have a maximum value (i.e., downward c) What is the probability that a quadratic function randomly generatod by this pr - a minimum value? - has 2 x-intercepts?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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, 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)? c) What is the probability that a quadratic function randomly generated by this program has - a minimum value? - has 2 x-intercepts? - has a minimum and two real x-intercepts? - has no x-intercepts given it has a maximum?
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, 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)? c) What is the probability that a quadratic function randomly generated by this program has - a minimum value? - has 2 x-intercepts? - has a minimum and two real x-intercepts? - has no x-intercepts given it has a maximum?
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