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Mathematics 13 Online
OpenStudy (anonymous):

Which of the following is the function representing the graph below? graph begins in the second quadrant near the line y equals 3 and increases slowly while crossing the ordered pair 0, 4. When the graph enters the first quadrant, it begins to increase quickly throughout the graph.

OpenStudy (anonymous):

OpenStudy (anonymous):

options are A. f(x)=4^x B. f(x)=4^x-3 c. f(x)=4^x+3 d. f(x)=4^(x+3)

OpenStudy (welshfella):

Hint: when x = 0 , 4^x = 1

OpenStudy (welshfella):

- also the graph intersects the x axis at y = 4

OpenStudy (anonymous):

so would it be A?

OpenStudy (welshfella):

* correction - intersects the y-axis at y = 4

OpenStudy (welshfella):

if it wers A what would be the value of f(x) (that is y) when x = 0

OpenStudy (welshfella):

f(x) = 4^0 = ?

OpenStudy (anonymous):

i have no clue...

OpenStudy (welshfella):

as i said in my first post 4^0 = 1 anything to the power 0 = 1 if a was correct then the graph would pass through f(x) = 1 so it cant be A

OpenStudy (welshfella):

- that is a would pass through (0,1) - but it passes through f(x) at the point (0,4) so the whole graph has risen how many units from (0,1)?

OpenStudy (anonymous):

okay so would it be c?

OpenStudy (welshfella):

Yes + 3 rises it up 3 units

OpenStudy (welshfella):

c is correct

OpenStudy (anonymous):

thank you so much

OpenStudy (welshfella):

yw

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