shifts
3^x+1
horizontal shift left
4^(-3)
1/64
4^(-2)
1/16
The amount of pretzels a snack food company fills each bag with must be within three pretzels of the 100 pretzels expected per bag. A quality control inspector must ensure the bags are adequately filled. Let p be the number of pretzels in each bag.
I p-100 I=3
3^-x
reflection in the Y-axis
ln1=?
0, because e⁰=1
log a (uv)
log a u + log a v
Solve:
A+B-2C=4
2A+B+2C=0
A-3B-4C=-2
A=0
B=2
C=-1
y=ae^bx
Exponential growth model
Log₄x=log₄y
x=y, one-to-one property
log₇(7³)
3
Solve: 8X+2Y-3Z=20
X-5Y+4Z=-22
2X+Y+Z=3
(1,3,-2)
y=ae^-bx
Exponential decay model
ln e^x=?
x
e^(ln4)
4
Solve: 2Z+X=5
Y-Z=-4
2X+3Y=-8
(-7,2,6)
How to graph exponential growth model
How to graph exponential decay model
starting from left of y axis, intersects 0,1 and then sky rockets
starting from right of y axis, intersects 0,1 and then sky rockets
What is log15(2^3) rewritten using the power property?
3log(15^2)
What is log5(4 * 7) + log(5^2) written as a single log?
log(5^56)
A small group of students is asked to solve the equation I3xI=5x+4. Cheyenne shares the following solution with her group. Identify the error(s) in Cheyenne's work and provide a correct solution.
I3xI=5x+4
3x=5x+4 or -3x=-5x+4
-2x=4 or 2x=4
x=-2 or x=2
I3xI=5x+4
3x=5x+4 or 3x=-5x-4
2x=4 or 8x=-4
x=2(no) or x=-1/2(yes)