Answer to Question #94028 in Algebra for Joshua

Question

3.Which of the equation below define y as a function of x?
a.\\(x^{2} + y^{2}=1)\\
b.\\(x^{2} + y=1)\\
c.\\(2x^{2} + 2y^{2}=2)\\
d.\\(x + y^{2}=1)\\

4.A function is said to be one to one if...
a.Every value of the dependent variable has one value of the independent variable in the domain
b.To one value of the dependent variable in the range, there is one value of the independent variable
c.For every value of the dependent variable, there corresponds one value of the independent variable
d.To each value of the dependent variable in the range, there corresponds exactly one value of the independent variable

Answer 1

3. The equation defines y as a function of x is b). To each value of the independent variable $x$ in the range, there corresponds exactly one value of the dependent variable $y=1-x^2.$

4. A function is said to be one to one if d): To each value of the dependent variable in the range, there corresponds exactly one value of the independent variable