For the graphed function f(x) = -(3)x - 1 + 3, calculate the average rate of change from x = 1 to x = 3. (5 points)

- anonymous

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- anonymous

http://gyazo.com/75001d397406503a5dbfdc1d95139cb6

- anonymous

@dan815

- anonymous

@nincompoop

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## More answers

- jim_thompson5910

Fill in the blank: The point (1, _____) lies on that function curve.

- anonymous

3? lol idk

- jim_thompson5910

|dw:1436391895866:dw|

- jim_thompson5910

|dw:1436391907246:dw|

- jim_thompson5910

draw a vertical line through x = 1
|dw:1436391924628:dw|

- jim_thompson5910

where does this vertical line cross the curve?
|dw:1436391957168:dw|

- anonymous

4? idk

- jim_thompson5910

|dw:1436392018915:dw|

- jim_thompson5910

how high is that point off the x axis (think of it as the ground)

- anonymous

4...

- jim_thompson5910

no, 2 actually

- anonymous

wouldnt 2 be closer though

- jim_thompson5910

|dw:1436392094265:dw|

- anonymous

oh

- jim_thompson5910

so you see how that point is (1,2) ?

- anonymous

ohh wait i see in the screenshot

- anonymous

yes

- jim_thompson5910

what is the other point?

- anonymous

2,0?

- jim_thompson5910

(2,0)
yes

- jim_thompson5910

(1,2) and (2,0) are the two points

- jim_thompson5910

use the slope formula
\[\Large m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\]
to find the slope

- anonymous

so -2

- jim_thompson5910

yes the slope of the line through those two points is -2

- anonymous

so that's the answer?

- jim_thompson5910

oh wait, it's x = 1 to x = 3
NOT x = 1 to x = 2

- jim_thompson5910

there's one other point on the graph that has an x coordinate of 3
what is the y coordinate here?

- anonymous

-6

- jim_thompson5910

so the two points you'll use are (1,2) and (3,-6)

- jim_thompson5910

use the same slope formula

- anonymous

so-4

- jim_thompson5910

good

- anonymous

yay thanks so much can you please help with 1 more?

- jim_thompson5910

sure

- anonymous

Which logarithmic graph can be used to approximate the value of y in the equation 5y = 12? (5 points)
http://gyazo.com/09247132268a7180076b6fd9c7b33364

- jim_thompson5910

It says \[\Large 5^y = 12\] right?

- anonymous

yes sorry

- jim_thompson5910

when you isolate y, what do you get

- anonymous

how would i do that? like do i square root 5 i dont know lol

- jim_thompson5910

what undoes exponents?

- anonymous

square roots?

- jim_thompson5910

logs do

- anonymous

oh sorry

- jim_thompson5910

if we solve for y, we get
\[\Large 5^y = 12\]
\[\Large y = \log_{5}(12)\]
\[\Large y = \frac{\log(12)}{\log(5)}\]
\[\Large y \approx 1.543959\]

- jim_thompson5910

So find the function where if you plug in x = 12, you'll get roughly y = 1.543959

- anonymous

okay

- anonymous

wait so if i graphed them would the answer show up as one of theoptions?

- jim_thompson5910

look at your options
which choice has (12, 1.543959) on it?

- jim_thompson5910

obviously B and C are out because the y coordinates of the point with x coordinate 12 is negative

- anonymous

d?

- jim_thompson5910

why D?

- anonymous

because it's 12,1.5

- jim_thompson5910

what is the coordinates of that blue point for choice A?

- anonymous

12,1

- jim_thompson5910

good

- jim_thompson5910

so that rules out A

- anonymous

yay thanks!!

- jim_thompson5910

np

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