Make a geogebra about the exponential function f(x) = a(c)b(x – h) + k
Once again, you’ll be using epearl to document your progress and learning. Start by creating a new artifact called The Exponential Function, and fill in the task description AND the criteria, in your own words.
Your geogebra must include:
- as many sliders as this function needs in order to be able to vary the parameters and the base
- a text box with the fully loaded rule of the function currently set by the sliders
- a text box with the simplified version of the current rule ie f(x) = a(c)x + k
- the graph of the function, including its asymptote, currently set by the sliders
- text boxes that appear/disappear as needed to give information about
- whether the function increases/decreases
- what the domain and range are
- when the function has no zero
- what the zero is if it has one
- what the y intercept is
- what the asymptote is
- all of the information displayed in an orderly way, ie not all over the screen at random places
Bonus points:
- The function’s colour depends on whether it increases or decreases.
- Your geogebra is uploaded to geogebratube and embedded in your blog.
- A checkbox that, when checked displays the rule and graph of the inverse of the current exponential function. I know we haven’t done it yet. That’s why it’s a bonus. 🙂
Due date: Wednesday Feb 12. 