Intro To Calculus- Summer Review: Problem 6

Segment AB is parallel to the y-axis with point A on the graph of g(x)=x² and point B on the graph of f(x)=4. Further, point B is only in the interior of the parabola.

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)

1) What would be the x-coordinate of point A so that AB = 1.2?

2) Let the x-coordinate of point A be represented the variable n. Write a function, h(n), for the length of segment AB. What is the domain and range of h(n)?

3) Suppose that the graph of f(x) was moved up 3 units and the graph of g(x) was moved to the left 3 units. How would the function you wrote above, h(n), change?

Jeff Holcomb, Created with GeoGebra