Locator Points
Domain/Range
Increasing/Decreasing/Con.
Asymptotes
Transformations
100
Identify the locator points for the function:
f(x)=3^x
x | y
0 | 1
1 | 3
100
Identify the Domain of the graph:
(-oo,oo)
100
Identify the interval where the function is CONSTANT:
NONE
100
What type of asymptotes do Exponential functions have?
Horizontal (y = #)
100
What transformation is shown in the function and how does it effect the locator points?
f(x)=2*3^x
Vertical Dilation by a factor of 2.
Multiplies all y-values by 2.
200
Identify the locator points for the function:
g(x)=log_5(x)
x | y
1 | 0
5 | 1
200
Identify the range of the graph:
(-oo,oo)
200
Is this function Increasing, Decreasing, or Both?
Increasing
200
What type of asymptotes to Log functions have?
Vertical (x = #)
200
What transformation is shown in the function and how does it effect the locator points?
p(x)=log(x)+7
Vertical Shift up 7.
Add 7 to all y-values.
300
Identify the locator points for the function:
h(x)=2*8^(-x+5)-3
x | y
0 | 1
1 | 8
300
Identify the Range of the graph:
(-4,oo)
300
Identify the interval where the function is Increasing:
(-3,oo)
300
What is the equation of the asymptote for the function:
h(x)=2*8^(x+5)-3
y = -3
300
What transformation is shown in the function and how does it effect the locator points?
r(x)=3^(x+4)
Horizontal Shift left 4.
Subtract 4 from all x-values.
400
Identify the locator points for the function:
m(x)=-5log_(1/2)(3x)-10
x | y
1 | 0
1/2 | 1
400
Identify the Domain of the graph:
(-3,oo)
400
Determine if the function is Increasing, Decreasing, or Constant. Then identify the interval over which it is occuring.
Decreasing on the interval
(-oo,oo)
400
What is the equation of the asymptote for the function
m(x)=-5log_(1/2)(x-2)-10
x = 2
400
Write the table for the transformed locator points based on the transformations applied to the function:
g(x)=-3log_2(x-4)-1
x + 4 | -3(y) - 1
5 | -1
6 | -4