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.
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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?
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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
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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
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