Posted by Anonymous on Saturday, April 30, 2011 at 11:54pm.
(0,1) means when x=0, y=1.
When x=0,
y = a*0^b = 0 except when b=0, when y is undefined.
So y cannot equal 1 when x=0.
Please check if there is a typo, for example: y=ab^x instead.
If this is the case, then
at (0,1),
1=ab^0=a*1=a
so y=b^x
at (-3,1/27)
1/27 = b^(-3)
27 = b^3;
3^3=b^3
b=3
So what do i put as the answer? is 3 the esponential function then?
"Please check if there is a typo,..."
When you see what the question actually asks, then you can decide which way to go.
Especially in exams, you need to double-check what you've copied the question correctly before you start.
Im sorry yes there was a typo, you correctly fixed it. the b should be an x so it should look like this.
y=ab^x
So the second solution would be appropriate. BUT... do make sure you understand how the solution was obtained, promise?
I do! thank you so much!!
You're welcome!
Related Questions
math - find the exponential function of the form y=ab^x whose graph passes ...
Algebra - Find a power function of the form y=ax^b whose graph passes throught ...
Algebra II - Use the equation of the exponential function whose graph passes ...
math - Write a function of the form Y=ax^2+c whose graph passes through the two ...
Algebra II - Use the equation of the exponential function whose graph passes ...
alg 2 - Write an exponential function whose graph passes through the given ...
Math - Find the linear-to-linear function who graph passes through the points (1...
Math - 1. Write a quadratic function in intercept form whose graph has the given...
math - Find the exponential function f(x)=Ca^x whose graph goes through the ...
college algebra - determine the quadratic function f whose vertex is (2,-4) and ...
For Further Reading
