3.03 Direct and inverse variation
Interactive practice questions
Consider the function $f\left(x\right)=-x^2$f(x)=−x2.
Which of the following statements is correct?
The graph of $f\left(x\right)=-x^2$f(x)=−x2 falls to the left and rises to the right.
The graph of $f\left(x\right)=-x^2$f(x)=−x2 falls to the left and falls to the right.
The graph of $f\left(x\right)=-x^2$f(x)=−x2 rises to the left and falls to the right.
The graph of $f\left(x\right)=-x^2$f(x)=−x2 rises to the left and rises to the right.
If $y$y varies inversely with $x$x we write the equation:
Is the variation relating the distance between two locations on a map and the actual distance between the two locations an example of a direct variation or an inverse variation?
Is the variation relating the number of workers hired to build a house and the time required to build the house an example of a direct variation or an inverse variation?