Question

Cameron claims y2 = 3x +3, y3 = 2+3, and y = ° + 3 are all functions. Is Cameron correct? If not, determine Cameron's mistake, and state which of the relations are functions.

a) Cameron is correct; all are functions.
b) Only y2 = 3x + 3 is a function.
c) None of them are functions.
d) Only y3 = 2+3 is a function.

Answer 1

The equations y2 = 3x + 3, y3 = 2 + 3, and y = ° + 3 are analyzed to determine if they are functions.

Step-by-step explanation:

The equations provided are y2 = 3x + 3, y3 = 2 + 3, and y = ° + 3.

To determine if they are functions, we need to check if each x-value (independent variable) in the equation corresponds to only one y-value (dependent variable).

For the equation y2 = 3x + 3, it represents a linear equation and is a function since each x-value will produce a unique y-value.

However, y3 = 2 + 3 and y = ° + 3 are not functions because there is no explicit representation of the independent variable x. In the first equation, y is a constant. In the second equation, there is no relation between x and y.

Therefore, the correct answer is (b) Only y2 = 3x + 3 is a function.