Exponential Functions

April 3 Tuesday Exponential functions

Well. I will be explaning same thing that is on your booklet so refer to your unit 4 booklet first page. If you have solved or copied during the class.

We've dealt with these type back in transformations unit so you should be familiar with it.

value a = is the constant (if negative, will reflect the basic curve in the X axis)

value b = the base (denominator of a)

value x = exponent (if negative, will reflect the basic curve in the Y axis)

value h = horizontal shifts ( if negative, shift to right, if positive shift to the left)

value k = vertical shifts (read the value as is)

where a and b are real numbers

a is anything but zero, and b is larger than zero but not 1.

This is the first question on Exponential Functions worksheet.

f(x) = 2^x-2 - 2

STEPS

1.create a data table and use x values as 1, 0 and -1 and solve for y ignoring h and k value.

2.according to your data table, plot the points on the graph and connect it.

3.That is your basic curve, which u will have to memorize.

4.Now shift that basic curve vertically or horizontally according to your values of h and k.

5.If the value of A negative, reflect all the points over the x axis

6.If the value of A is a fraction, reflect all the points over the y axis.