SOLUTION: Find the domain and the y-intercept of the exponential function y = 2^(x-1). a. Domain: All real numbers y-intercept: (0, 1/2) b. Domain: All positive numbers y-

Algebra ->  Functions -> SOLUTION: Find the domain and the y-intercept of the exponential function y = 2^(x-1). a. Domain: All real numbers y-intercept: (0, 1/2) b. Domain: All positive numbers y-      Log On


   

Question 43182: Find the domain and the y-intercept of the exponential function y = 2^(x-1).
a. Domain: All real numbers
y-intercept: (0, 1/2)

b. Domain: All positive numbers
y-intercept: (0, 1/2)

c. Domain: All real numbers
y-intercept: (1/2, 0)

d. Domain: All positive numbers
y-intercept: (0, 1)

e. None of the others

Found 2 solutions by stanbon, Nate:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the domain and the y-intercept of the exponential function y = 2^(x-1).
Domain: x is all Real Numbers
Range: y>0
Cheers,
stan H>

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
y+=+2%5E%28x+-+1%29
There seems to be no limitations to the x-values, so Domain: {x|all real values}
Y-Intercept:
y+=+2%5E%28x+-+1%29
y+=+2%5E%280+-+1%29
y+=+2%5E%28-1%29
y+=+1%2F2
y-intercept: 0.5 .... so .... (0,0.5)
Answer: (A)
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+2%5E%28x+-+1%29+%29+