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Mathematics 14 Online
Nicole:

http://prntscr.com/nanq42

Nicole:

@Vocaloid

Nicole:

C?

Vocaloid:

yeah

Nicole:

http://prntscr.com/naojpi

Vocaloid:

that open circle means composition g is first, that means you need to take the entire f(x) function and plug it into x in the g(x) function, then simplify

Nicole:

Im confused loll

Vocaloid:

f(x) = 2x - 1 g(x) = x + 2 take f(x) and replace "x" with the g(x) function "x+2" and simplify

Nicole:

D

Vocaloid:

good

Nicole:

http://prntscr.com/naotmi

Vocaloid:

pick two points (for example I see (0,-3) and (3,-4) and apply the slope formula

Nicole:

(y2 -- y1) / (x2 -- x1) (-4-(-3) / (3-0) ?

Vocaloid:

yeah keep going

Nicole:

-1/3 ?

Vocaloid:

good, -1/3 is your solution

Nicole:

http://prntscr.com/nap1jk

Vocaloid:

so you want to repeat the process from before (find the slope) by finding two points on the graph and calculating the slope then after that the equation is y = mx + b where m is the slope and b is the y-intercept

Nicole:

(0,-4) and (0,1) (y2 -- y1) / (x2 -- x1) (1-(-4) / (0-0)

Vocaloid:

(0,1) is not a point on the graph (you might have been thinking of 1,0)

Nicole:

(0,-4) and (1,0) (1-(-4)) / (0-0)

Vocaloid:

careful (y2-y1) / (x2-x1) (0 - (-4)) / (1-0)

Nicole:

Yes so that would be 4

Vocaloid:

good, slope is 4, keep going

Nicole:

y=4x+ idk what the y intercept is

Vocaloid:

where does the graph cross the y-axis?

Nicole:

-4

Nicole:

?

Vocaloid:

yeah so y = mx + b becomes y = 4x - 4

Nicole:

now do I solve for y or?

Vocaloid:

that's it, it wants the equation

Nicole:

http://prntscr.com/napqwp

Vocaloid:

again y = mx + b where m is the slope and b is the y-intercept

Nicole:

so do I have to do the same thing I did before?

Vocaloid:

they give you the slope and intercept in the problem

Nicole:

then after that the equation is y = mx + b where m is the slope and b is the y-intercept y=-1x+5 ?

Vocaloid:

yeah but we usually write this as y = -x + 5

Vocaloid:

the 1 is implied

Nicole:

Ohh okay so thats the answer

Vocaloid:

yes.

Nicole:

http://prntscr.com/naq0c2

Vocaloid:

first treat the green line as a normal line and write the equation for it then, choose the correct sign (>, <, etc.) based on where the shading is and what type of line (dashed vs solid) it is

Nicole:

How can I determine a equation for a line on a graph again?

Vocaloid:

please refer to our previous examples pick two points, apply the slope formula, find the y-intercept, then y = mx + b.

Vocaloid:

start with (1,0) and (0,3) since these are points on the graph

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