CHAPTER 5 REVIEW. 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,

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Presentation transcript:

CHAPTER 5 REVIEW

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.

F(t)=2t  Linear equation!!

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.

(0,1)

Y= 2 x Identify the horizontal asymptote

The horizontal line y=0  An asymptote is a line or curve that approaches a given curve arbitrarily closely

Y= 2 x What is the domain?

All real numbers  Domain: all possible INPUTS aka x values

Y= 2 x What is the range?

Y>0 (never going to have a negative y value)  Range: all possible OUTPUTS aka y values

Y= 2 x Will this increase or decrease? WHY?

Increase  It will increase because the base is greater than 1 and x is positive

f(x)=24 x Write a function that is a reflection of this function about the vertical line x=0

f(x)=24 -x  The vertical line x=0 is the y-axis

f(x)=24 x Write a function that is a reflection of the function about the horizontal line y=0

f(x)=- 24 x  The horizontal line y=0 is the x-axis

Write the following as a single power 1/25

5 -2

Write the equation of each function after the translation described f(x)=10x After a translation 4 units up

f(x)=10x+4

Write the equation of each function after the translation described f(x)=6x 2 After a translation 12 units down

f(x)=6x 2 -12

Compare f(x)=(x+7) to f(x)=x 2

A horizontal shift 7 to the LEFT and a vertical shift 15 DOWN

Compare f(x)=(x-11) 3 to f(x)=x 3

Horizontal shift 11 units to the RIGHT

Compare f(x)=2 -x to f(x)=2 x

Reflection about the line x=0 (or the y-axis)

Write in radical form 4 5/7

Write in radical form X 1/2

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.

F(t)=8 t  EXPONENTIAL equation!

Solve each exponential equation for x 4 3-x =16,384

X=-4

Solve each exponential equation for x  8 x+12 =32,768

X=-7

Solve each exponential equation for x

X=-5

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.

F(t)=5,000(1+.015) t OR f(t)=5,000(1.015) t

Use Marty's account, f(t)=5,000(1+.015) t to see how much money he would have after 5 years.

$5,  Round to the nearest cent for money