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Mathematics 19 Online
OpenStudy (camerondoherty):

How do i find the y intercept?

OpenStudy (camerondoherty):

The functions f(x) and g(x) are described using the following equation and table: f(x) = 3(1.02)x Table: http://prntscr.com/449trq Which statement best compares the y-intercepts of f(x) and g(x)? The y-intercept of f(x) is equal to the y-intercept of g(x). The y-intercept of f(x) is equal to 2 times the y-intercept of g(x). The y-intercept of g(x) is equal to 2 times the y-intercept of f(x). The y-intercept of g(x) is equal to 2 plus y-intercept of f(x)

hartnn (hartnn):

y intercept is when x=0

OpenStudy (nincompoop):

|dw:1405790311856:dw|

OpenStudy (camerondoherty):

oh ok so i make an equation?

OpenStudy (camerondoherty):

then sub x for 0

OpenStudy (camerondoherty):

and solve for y

hartnn (hartnn):

so, for f(x) plug in x=0 , find f(0) and for g(x), see which entry in g(x) column corresponds to x=0

OpenStudy (nincompoop):

|dw:1405790335859:dw|

OpenStudy (nincompoop):

y-intercept is when a line touches or crosses the Y-AXIS by looking at it, it tells you that the value of x = 0

hartnn (hartnn):

\(\Large f(x) =3 (1.02)^x \\ \Large f(0) = 3(1.02)^0 = ... ?\)

OpenStudy (camerondoherty):

Oh wait its exponential \[f(x) = 3(1.02)^x\]

hartnn (hartnn):

we know

OpenStudy (camerondoherty):

Oh ok lol

OpenStudy (camerondoherty):

so f(0)=3?

hartnn (hartnn):

yes, correct y intercept for f(x) is 3

hartnn (hartnn):

for g(x), see which entry in g(x) column corresponds to x=0

OpenStudy (camerondoherty):

6

hartnn (hartnn):

correct, so which option ?

OpenStudy (camerondoherty):

C?

hartnn (hartnn):

\(\huge \checkmark \)

OpenStudy (camerondoherty):

Thank You!

hartnn (hartnn):

welcome ^_^

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