The Product Rule
The Division/Quotient Rule
The Power Rule
Extra Stuff
Polynomials
100
When you MULTIPLY two terms with the same base, _________ the powers
When you MULTIPLY two terms with the same base, ADD the powers
100
When you DIVIDE two terms with the same base, _________ the powers.
When you DIVIDE two terms with the same base, SUBTRACT the powers.
100
When you have a term with a POWER to ANOTHER POWER, _________ the powers
When you have a term with a POWER to ANOTHER POWER, MULTIPLY the powers
100
Zero Rule: If you have a term to the power of ZERO, the whole term is equal to _______
Zero Rule: If you have a term to the power of ZERO, the whole term is equal to ONE (1)
100
A __________ is the simplest example of a functions that has no transformations
A parent function is the simplest example of a functions that has no transformations
200
"Simplify " 3^3*3^2
3^5 or 243
200
"Simplify "5^6/5^3
5^3 or 125
200
"Simplify " (2^3)^2
2^6 or 64
200
What do you do to something with a negative exponent?
Ex.)
2^-3
Take the reciprocal and make the exponent positive.
1/2^3 or 1/8
200
The parent function is f(x)=x^3 , what transformations are being done if the new function is g(x)=5(x)^3
Vertical Stretch BAFO 5
300
"Simplify " x^2*x^-1
x^1 or x
300
"Simplify "x^2/x^3
1/x or x^-1
300
"Simplify " (z^4)^-2
z^-8 or 1/z^8
300
"Simplify " 4/x^-3
4x^3
300
What does domain mean and what does range mean?
Domain: all of the x-values on the graph from left to right.
Range: all of the y-values on the graph from bottom to top.
400
"Simplify "8r^4*2r^3
16r^7
400
"Simplify " (27x^3y^8)/(9x^5y^-2
3x^-2y^10 or (3y^10)/x^2
400
"Simplify " (3x^2)^3
27x^6
400
"Simplify " (12x^2)^-2
1/(144x^4) or 12^-2x^-4
400
What is the interval of decreasing on my function?
(-∞,0)U(2,∞)
500
"Simplify " 3x^2y*2xz^-3*4y^-1z^2
24x^3y^0z^-1 or (24 x^3)/z
500
"Simplify " (2x^2y^3*3x^-2y^4)/(6xy^6)
(y)/x
500
"Simplify " (2x)*(4x^5)^2
32x^11
500
"Simplify " 2a^-2*(ab^3)^3*(b^-8c^5)^0
2ab^9
500
What is the average rate of change on the interval [0,2]
"AROC " 4/2 or 2