Chapter 12.3
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Find f(x) by finding three points on the line f(x)=2^x. | Plug in some points from a graph. Remember to correctly plot points on graph and connect the points.
X: -2 , 0 , 2
f(x): (1/4) , 1 , 4
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| Find y for the exponential function (1/2)^x. | Plug in some points from a graph.
X: -1 , 0 , 1
Y: 2 , 1 , (1/2)
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| Find 4 points on the line of the exponential function f(x)=3^x+2. | Plug in plots from graph. Choose smaller numbers so you can plot the points easier.
X: -3 , -2 , -1 , 0
f(x): (1/3) , 1 , 3 , 9
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| Solve for x. 2^x=16 | Change base of 16 so that it matches 2.
1. 2^x=2^4
2. x=4
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| Solve for x. 9^x=27 | Change base of 27 so that it matches 9. Both bases are powers of 3.
1. (3^2)^x=3^3
2. Solve for x.
- 2^x=3
- (2^x)/2=3/2
- x=3/2
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| Find the amount owed at the end of 5 years if $1600 is loaned at a rate of %9 compounded monthly. | P= $1600
r= 0.09
n= 12
t= 5
Plug in the values into the equation.
A= $2505.09
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| A type of uranium has daily radioactive decay of 0.4%. If 40 pounds of this uranium is available today, find how much will still remain after 40 days. Use y=40(2.7)^-0.004t | t= 40
Plug in t value.
y= 34.1
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| The equation y=84,943(1.095)^x models the number of college students who study abroad each year from 1995 through 2006. In the equation, x represents the number of years after 1995. Find the # of students studying abroad in (a) 2001 and (b) 2023. | Plug in x for the # of years after 1995.
(a) 84,943(1.095)^6=146,424.
(b) 84,943(1.095)^28=1,078,259
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| The equation y=114.65(1.114)^x gives the number of cellular phone users y (in millions) in a country for the years 2002 through 2009. In this equation, x=1 represents 2003. Find out how many users there will be in 2012. | Plug in x for the # of years up to 2012.
114.65(1.114)^10=337.5
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| Solve for x. 4^x+3=8^x | 1. (2^2)^x+3=(2^3)^x
2. (2x+6)-2x=3x-2x
3. 6=x
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| Find f(x) by finding four points on the line f(x)3^x. | X: -2 , -1 , 3 ,2
f(x): (1/9) , (1/3) , 27 , 9
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Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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