Understanding Function Ranges in Mathematics

Jimmy Chang, a math expert, explains how to find the range in mathematics. He introduces the concept of range as the set of y-coordinates resulting from plugging in x-values into functions. The video covers finding range using ordered pairs, linear functions, quadratic functions, and square root functions. Each method is explained with examples, highlighting how the range is determined based on the domain and the nature of the function.

What is the range in mathematics primarily concerned with?

• Y-coordinates

• All coordinates

• X-coordinates

• Z-coordinates

What tools are suggested for finding the range in mathematics?

• Compass and protractor

• Graph paper and pencil

• Pen, paper, and calculator

• Calculator and ruler

In the context of ordered pairs, what does the range consist of?

• Both X and Y coordinates

• X-coordinates

• Neither X nor Y coordinates

• Y-coordinates

Given the ordered pairs (3,1), (0,0), and (5,8), what is the range?

• {3, 1, 5}

• {0, 1, 8}

• {1, 0, 8}

• {3, 0, 5}

For the function y = 3x - 1, what is the domain?

• All positive numbers

• All real numbers

• Only integers

• All negative numbers

What is the range of the function y = 3x - 1?

• Only zero

• All real numbers

• Only negative numbers

• Only positive numbers

What is the range of the function y = 3x - 1 when x is a positive number?

• Positive numbers

• Zero

• Negative numbers

• All real numbers

What happens to the range of y = 3x - 1 when x is negative?

• It becomes positive

• It becomes zero

• It becomes negative

• It remains unchanged

For the function y = x^2, what is the minimum value of the range?

• Zero

• Positive infinity

• One

• Negative infinity

How is the range expressed for the function y = x^2?

• y ≥ 0

• y ≤ 0

• y > 0

• y < 0