Graphing y=ab^x + c

Double period. We investigated the following 8 exponential functions using the TI-83. If you MISSED the class, you should be certain to do each of these:

y = 2^x
y+4 = 3(2)^x
y-3 = 2^x
y+1 = 0.5(2)^x
y = 16(2)^x
y = 4(2)^(x+2)
y = 2^(x+4)
y-3 = 0.5^(x-3)

For each of these functions, we found:

• Growth or decay (growth when the base > 1, decay when 0 <>
• y-intercept (set x=0)
• root (using the graphing calculator to calculate, if it exists)
• equation of the asymptote (equal to the vertical translation, OR graph the function in the TI-83, look at your table of values, and see what value y is approaching as x gets larger or smaller)

After investigating these questions, the following was assigned for homework:

p.148#6,p.149#8(B,C)

for each of these questions, find ONLY:

• Growth or decay?
• y-intercept
• equation of the asymptote
• Root (if it exists)
• Domain/Range

Plus find the domain and range for each of the previous 8 equations.