Exponent Rules
Find & Correct the Error
Intro to Exponential Functions
Graphing & Analyzing Exponential Functions
100
x^3*x^7
x^10
100
3x4 * 6x2 = 9x6
You have to multiply 3 * 6 = 18x6
100
Determine whether this is linear or exponential. Explain
Linear. The y-values increase by 2
100
What is the range:
(0, ∞ )
200
x^5/x^10
1/x^5
200
3x0=1
only x0=1, so the answer is 3 * 1 = 3
200
Determine whether the function is linear or exponential
Exponential. The y-values are multiplied by 5.
200
Describe the transformation from the parent function
left 4, down 3
300
5c^-8
5/c^8
300
x^-5/x^3= x^8
the x-5 has to go to the bottom of the fraction
1/x^8
300
Is this exponential growth or decay?
Growth
300
Describe the transformation from the parent function
Reflect over the x-axis, vertical stretch by 2, right 6
400
(2x^2y^-2z^-4)^3
(8x^6)/(y^6z^12)
400
(10x^7)/(5x^4)=5x^3
you have to divide 10/5 = 2x3
400
y=2(1/4)^x-7
Growth or decay?
Decay
400
Describe the transformation of the parent function
reflect over the x-axis, vertical stretch by 3, right 1, up 7
500
((28m^3p^2)/(4mp))^2
49m^4p^2
500
(3x^5)^2=6x^10
You have to do
3^2=9
9x^10
500
When x>0, is the function increasing, decreasing, or staying the same?
Increasing
500
What is the horizontal asymptote of the graph?
7