SOLUTION: Dear Sir/Madam, I am confronted with the following problem: "Where does the graph of y = 2 + 2^x cross the y-axis?" Is there a way of solving this without graphing the fun

Algebra ->  Graphs -> SOLUTION: Dear Sir/Madam, I am confronted with the following problem: "Where does the graph of y = 2 + 2^x cross the y-axis?" Is there a way of solving this without graphing the fun      Log On


   

Question 6505: Dear Sir/Madam,
I am confronted with the following problem:
"Where does the graph of y = 2 + 2^x cross the y-axis?"
Is there a way of solving this without graphing the function?
Thanks in advance.
Regards,
-Mike
Found 2 solutions by ichudov, dval9159:
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
"Cross the Y axis" means the point where x = 0. So, use 0 for x in 2+2^x and you can find out the Y point. 2+2^0 is 2+1=3, so the point is (0, 3).
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Answer by dval9159(1) About Me  (Show Source):
You can put this solution on YOUR website!
y=2+2^(x)
To find the y-intercept, substitute in 0 for x and solve for y.
y=2+2^(0)
Any number raised to the power of 0 is 1.
y=2+1
Solve the equation.
y=3
These are the x and y intercepts of the equation y=2+2^(x).
y=3
It crosses the y intercept at 0,3
To graph this equation you must also solve for x.
The x intercept is 1,0