remember scientific notation?. (1.2 x 10 -3 )(6.7 x 10 6 ) small # big # 8.04 x 10 -3+6 8.04 x 10 3
TRANSCRIPT
Remember scientific notation?
(1.2 x 10-3 )(6.7 x 106 )
Smal
l #
Big
#8.04 x 10-3+6
8.04 x 103
(8.2 x 108 )(6.7 x 106 )
54.94 or 5.494 x 101
5.494 x 101 x 1014
5.494 x 1015
(8.2 x 10-2 )(9.7 x 10-5 )
79.54 or 7.954 x 101
7.954 x 101 x 10-7
7.954 x 10-6
Simplify. Answer must have positive exponents.
32
21
yx
yx
Sketch a graph.y = -2x2 - 4
x intercepts:y intercept:vertex:
none(0,-4)(0,-4)
- x
)(
as
xf
x
)(
as
xfMeans: as x approaches negative infinity, so does y Remember y is f(x)
END BEHAVIOR:
Sketch a graph.
y = -x2 + 4
x intercepts:y intercept:vertex:
(2,0)(-2,0)(0,4)(0,4)
- x
)(
as
xf
x
)(
as
xf
Sketch a graph.
y = x3 + 2
x intercepts:y intercept:Domain:Range:
(-1.26,0)(0,2)(-∞,∞)(-∞,∞)
- x
)(
as
xf
x
)(
as
xf
Sketch a graph.
y = (x-3)2 + 2
x intercepts:y intercept:vertex:
none(0,11)(3,2)
- x
)(
as
xf
x
)(
as
xf
Sketch a graph.
y = x4
x intercepts:y intercept:Domain:Range:
(0,0)(0,0)(-∞,∞)[0,∞)
y = x2
Sketch a graph.
y = x5
x intercepts:y intercept:Domain:Range:
(0,0)(0,0)(-∞,∞)(- ∞, ∞)
Sketch a graph.
y = -x4 –x2 + x - 2
x intercepts:y intercept:Domain:
none(0,-2)(-∞,∞)
- x
)(
as
xf
x
)(
as
xf
What methods (tools) do we use to find x intercepts?
Factoring Q.F.GCF(x+ )(x+ )6 step methodgrouping
2x2 - 11x + 15x3 + 5x2 – 9x - 45 x2 - x + 12 3x2 - 6x
2x2 - 11x + 15x3 + 5x2 – 9x - 45 x2 - x + 12 3x2 - 6x
2x2 - 11x + 15x3 + 5x2 – 9x - 45 x2 - x + 12 3x2 - 6x
2x2 - 11x + 15x3 + 5x2 – 9x - 45 x2 - x + 12 3x2 - 6x
2x2 - 11x + 15x3 + 5x2 – 9x - 45 x2 - x + 12 3x2 - 6x
What methods (tools) do we use to find x intercepts?
FactoringGCF(x+ )(x+ )6 step methodgrouping
3x2 - 6x x2 - x + 12 2x2 - 11x + 15x3 + 5x2 – 9x - 45 difference of perfect
squares4x2 - 49
(2x – 7)(2x + 7)
Factoring a Cubic8x3 + 27
Step 1: Take the cube root of
each term. (2x + 3)Step 2: Square the first term.
Multiply the two terms together
and change the sign. Square the last term(2x + 3)(4x2-6x+9)
Factoring a Cubic27x3 - 64
Step 1: Take the cube root of
each term. (3x - 4)Step 2: Square the first term.
Multiply the two terms together
and change the sign. Square the last term(3x -4 ) (9x2+12x +16)
Factoring a Cubic125x3 - 8
(5x -2 ) (25x2+10x+4)