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Janu16
 one year ago
Below are two different functions, f(x)and g(x). What can be determined about their yintercepts?
Janu16
 one year ago
Below are two different functions, f(x)and g(x). What can be determined about their yintercepts?

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Janu16
 one year ago
Best ResponseYou've already chosen the best response.0f(x) = x + 4 x g(x) 1 8 1 0 2 4 @DanJS here it is

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1the y intercept is the point (x,y) = (0,y) when x is zero it will cross the Y axis, can you picture that

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1When x axis line is at zero, you are in the yaxis

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1so what can you think about f(x) for it's yintercept, what would you do ?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1right, you set X=0, then you get the yintercept F(x) = 0 + 4

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1yes you can place a point at ( x , y) = (0 , 4)

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1similarly, if you want to graph a line, you need 2 points right? so find now the Xintercept by doing the same thing, this time set Y=0 and figure X

Janu16
 one year ago
Best ResponseYou've already chosen the best response.0are you talking about g(x)?than it would be 1...?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1f(x) = y = x + 4 0 = x + 4 when y is zero, x is 4 second point (x , y) = ( 4 , 0)

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1no still f(x), similar question, now you can graph the line, you have 2 points, the X and the Y intercepts

Janu16
 one year ago
Best ResponseYou've already chosen the best response.0why would the 4 be negative? for o,4

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1FOr g(x), it looks like it is also a line, constant slope

Janu16
 one year ago
Best ResponseYou've already chosen the best response.0so the other 4 would be negative?i thought it would be positive

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1No, when y = f(x) = 0 , you get 0 = x + 4 0  4 = x + 4  4 x = 4 the x intercept is 4

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1plus the slope is +1, the line must be climbing

Janu16
 one year ago
Best ResponseYou've already chosen the best response.0ohok i get it and what were you saying about g(x)?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1if you calculate the slope between points 12 and 23 or any 2 of those points, the slope is the same, it is a line of the form y = m*x+ b

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1a line has the same slope everywhere

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1yep, now you hav e y = mx + b y = 4*x + b pick any point and put in (x,y) and solve b

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1b is the y intercept for that form of a line equation, y = (slope)*x + (y int)

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1see when x = 0, you get y=b, the y intercept

Janu16
 one year ago
Best ResponseYou've already chosen the best response.0so what can be determined about both of their y intercepts

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1since you figured the slope is 4 for g(x) y = 4*x+ b use any point on g, i pick (x , y ) = (1 , 0) ... put into equation 0 = 4*(1) + b what is b  (y intercept) for g?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1b = 4 thjey both have the same yintercepts

DanJS
 one year ago
Best ResponseYou've already chosen the best response.10 = 4 + b add 4 both side b = 4

Janu16
 one year ago
Best ResponseYou've already chosen the best response.0ok they all have same y intercepts?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1yes, if you don't get something let me know

Janu16
 one year ago
Best ResponseYou've already chosen the best response.0i get it so my answer would be they all have same y intercept. thanks and you know how you helped me with f(g((x) problem i am trying to do mine but cant get the answer. f(x) = 2x + 1 and g(x) = −5x + 2, solve for f(g(x)) when x = 3. dont you start with g(x) first?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1yeah, remember to figure the inner function first, then use that value to move outwards

Janu16
 one year ago
Best ResponseYou've already chosen the best response.0yup i remember and id you have g(f((x) do you start with f first?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1yep. W[f(G(x))] G then f then W, keeping track of the values to use for each as you work outwards

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1i just added a third function, same idea, work middle to outside

Janu16
 one year ago
Best ResponseYou've already chosen the best response.0ohoki am just learning about 2 function right now in algebra 2 lol but thxs

Janu16
 one year ago
Best ResponseYou've already chosen the best response.0does this \ mean graph is going negative? like that line

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1that means it has a negative slope, for increasing values of X, the Y value will be less and less

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1as you figured the slope was minus 4

Janu16
 one year ago
Best ResponseYou've already chosen the best response.0ohok and i was doing inverse so how do you find inverse of this f(x) = x2 − 16 like it has only 2 things so how do you inverse that

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1If you see an equation in the form y = mx+b and the m is negative, it will do that

Janu16
 one year ago
Best ResponseYou've already chosen the best response.0ok i see it and would it be x=y216 than what do you subtract

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1remember how the inverse reflects over that line with slope 1, y = x

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1yeah just solve for the new y value for the inverse if you need that

Janu16
 one year ago
Best ResponseYou've already chosen the best response.0yas i see how it reflects but how do you solve for y value like do you subtracvt 16

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1oh, you gots to get the algebra stuff down,, lol

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1\[x = y^2  16\] \[x+16=y^2\]

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1take square root of both sides

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1yes that is y or f inverse

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1the + is above the x axis and the  is below, as graphed

Janu16
 one year ago
Best ResponseYou've already chosen the best response.0so that would be the answer right?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1not sure what you have to remember for tests, but just recall inverse functions, switch x and y and solve new y is the inverse

DanJS
 one year ago
Best ResponseYou've already chosen the best response.1if it exists, but it probably will if they ask you
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