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HW 14.1

Last updated about 3 years ago

21 Nsɛmmisa

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Today we are going to look at data, and determine if the data represents a linear , quadratic, or exponential function.

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If we have a graph of a function, it is easy to tell if it is linear, quadratic or exponential. Practice a few!

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1.

Is this graph linear, quadratic, exponential growth, or exponential decay?

Asemmisa {{asɛmmisaAhyɛnsode}}

2.

Is this graph linear, quadratic, exponential growth, or exponential decay?

Asemmisa {{asɛmmisaAhyɛnsode}}

3.

Is this graph linear, quadratic, exponential growth, or exponential decay?

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4.

Is this graph linear, quadratic, exponential growth, or exponential decay?

Sometimes, we have certain data points from real-life situations and they don't fit on a line or curve perfectly. We can look at the points and decide which type of function will "fit" best if we had to draw a line/curve through all of the points.

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Asemmisa {{asɛmmisaAhyɛnsode}}

5.

What type of function would BEST model this data?
Linear, quadratic, exponential growth, or exponential decay?

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6.

What type of function would BEST model this data?
Linear, quadratic, exponential growth, or exponential decay?

Asemmisa {{asɛmmisaAhyɛnsode}}

7.

What type of function would BEST model this data?
Linear, quadratic, exponential growth, or exponential decay?

Asemmisa {{asɛmmisaAhyɛnsode}}

8.

What type of function would BEST model this data?
Linear, quadratic, exponential growth, or exponential decay?

Asemmisa {{asɛmmisaAhyɛnsode}}

9.

What type of function would BEST model this data?
Linear, quadratic, exponential growth, or exponential decay?

Asemmisa {{asɛmmisaAhyɛnsode}}

10.

What do you think might have happened that caused the manitee population to go down and then back up again???

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11.

What type of function would BEST model this data?
Linear, quadratic, exponential growth, or exponential decay?

Asemmisa {{asɛmmisaAhyɛnsode}}

12.

What type of function would BEST model this data?
Linear, quadratic, exponential growth, or exponential decay?

Sometimes, we are given data in a table, and we have to look for a pattern.

Linear-will have a COMMON DIFFERENCE-the same amount added or subtracted between terms

Exponential- will have a COMMON RATIO- multiply by the same amount to get the next term

Quadratic- will not have a comon difference or ratio. But you want to check the difference between the differences (referred to as the second difference). If this is the same, it will be quadratic.

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13.

Select linear, exponential, or quadratic for the table.
Also, if it is linear, select the difference, if it is exponential, select the ratio.

linear

quadratic

exponential

None of the above

d=3

r=4

r=1/4

Asemmisa {{asɛmmisaAhyɛnsode}}

14.

Select linear, exponential, or quadratic for the table.
Also, if it is linear, select the difference, if it is exponential, select the ratio.

linear

quadratic

exponential

none of the above

d=6

r=6

d=1

r=7

Asemmisa {{asɛmmisaAhyɛnsode}}

15.

Select linear, exponential, or quadratic for the table.
Also, if it is linear, select the difference, if it is exponential, select the ratio.

linear

quadratic

exponential

d=3

r=4

Asemmisa {{asɛmmisaAhyɛnsode}}

16.

Select linear, exponential, or quadratic for the table.
Also, if it is linear, select the difference, if it is exponential, select the ratio.
remember...to find the ratio, take the 2nd term, and divide it by the 1st term

linear

quadratic

exponential

none of the above

r=1.18

d=-11.58

r=.85

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17.

Select linear, exponential, or quadratic for the table.
Also, if it is linear, select the difference, if it is exponential, select the ratio.

linear

quadratic

exponential

none of the above

r=divide by 3

d=-6

r=1/3

Asemmisa {{asɛmmisaAhyɛnsode}}

18.

Select linear, exponential, or quadratic for the table.
Also, if it is linear, select the difference, if it is exponential, select the ratio.

linear

quadratic

exponential

none of the above

r=divide by 3

d=9

r=1.69

Asemmisa {{asɛmmisaAhyɛnsode}}

19.

Select linear, exponential, or quadratic for the table.
Also, if it is linear, select the difference, if it is exponential, select the ratio.

linear

quadratic

exponential

none of the above

r=divide by 3

d=-6

r=1/3

Asemmisa {{asɛmmisaAhyɛnsode}}

20.

REVIEW
What is the y-intercept for the function? Hint: sub in 0 for x.
Write as an ordered pair (x,y).

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21.

REVIEW
What is equation for the horizontal asymptote?