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CHAPTER 5 REVIEW
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It has been snowing steadily in Flagstaff for a week. The amount of total inches it's snowed is as follows: 2 inches the first day, 4 inches the second day, 6 inches the third day, and so on. Write a function that represents the amount of inches as a function of the number of days, t.
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F(t)=2t Linear equation!!
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Y= 2 x Identify the y-intercept ** The y-intercept of any line is the value of y at the point where the line crosses the y axis. When it crosses the y-axis, x MUST be zero.
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(0,1)
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Y= 2 x Identify the horizontal asymptote
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The horizontal line y=0 An asymptote is a line or curve that approaches a given curve arbitrarily closely
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Y= 2 x What is the domain?
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All real numbers Domain: all possible INPUTS aka x values
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Y= 2 x What is the range?
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Y>0 (never going to have a negative y value) Range: all possible OUTPUTS aka y values
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Y= 2 x Will this increase or decrease? WHY?
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Increase It will increase because the base is greater than 1 and x is positive
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f(x)=24 x Write a function that is a reflection of this function about the vertical line x=0
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f(x)=24 -x The vertical line x=0 is the y-axis
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f(x)=24 x Write a function that is a reflection of the function about the horizontal line y=0
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f(x)=- 24 x The horizontal line y=0 is the x-axis
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Write the following as a single power 1/25
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5 -2
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Write the equation of each function after the translation described f(x)=10x After a translation 4 units up
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f(x)=10x+4
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Write the equation of each function after the translation described f(x)=6x 2 After a translation 12 units down
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f(x)=6x 2 -12
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Compare f(x)=(x+7) 2 -15 to f(x)=x 2
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A horizontal shift 7 to the LEFT and a vertical shift 15 DOWN
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Compare f(x)=(x-11) 3 to f(x)=x 3
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Horizontal shift 11 units to the RIGHT
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Compare f(x)=2 -x to f(x)=2 x
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Reflection about the line x=0 (or the y-axis)
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Write in radical form 4 5/7
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Write in radical form X 1/2
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The amount of total germ cells in a petri dish is as follows: 8 cells the first minute, 64 cells the second minute, 512 cells the third minute, and so on. Write a function that represents the total number of germ cells as a function of the number of minutes, t.
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F(t)=8 t EXPONENTIAL equation!
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Solve each exponential equation for x 4 3-x =16,384
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X=-4
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Solve each exponential equation for x 8 x+12 =32,768
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X=-7
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Solve each exponential equation for x
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X=-5
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Marty deposited $5,000 into a compound savings account that grew at a rate of 1.5% each year. Write a function that represents the amount of money in Marty's account as a function of time in years.
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F(t)=5,000(1+.015) t OR f(t)=5,000(1.015) t
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Use Marty's account, f(t)=5,000(1+.015) t to see how much money he would have after 5 years.
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$5,386.42 Round to the nearest cent for money
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