Posted by **alyssa** on Thursday, May 19, 2011 at 10:20am.

I don't understand how to do this problem. Please help!

Find an exponential function of the form f(x) = bax that has a y-intercept of 2 and passes through the point (2, 98). For example, if the equation is f(x) = 2(7)x respond by entering the answer as 2(7)^x

- algebra -
**Reiny**, Thursday, May 19, 2011 at 10:38am
I think you meant:

y = b(a^x)

you have 2 points, (0,2) and (2,98) which lie on this graph

sub in (0,2)

2 = b(a^0) ---> b = 2

so y = 2(a^x), now sub in (2,98)

98 = 2(a^2)

49 = a^2

a = ± 7

so your equation is y = 2(7)^x

(strange that they would give you the actual answer as a hint or example)

## Answer this Question

## Related Questions

- Algebra - Find an exponential function of the form f(x) = ba^x that has the ...
- Math/Algebra do u know how to do slope intercept? - The following problems are ...
- math - i have more than one question so if u no any of the answers please tell ...
- math - I have a few question so I will number them off. Please answer them for ...
- Advanced Algebra - Find the exponential function of the form y=ax^b whose graph ...
- Algebra2 - Write an equation for the line in point/slope form and slope/...
- math - find the exponential function of the form y=ab^x whose graph passes ...
- Algebra - Please help me to solve this problem. Thank you in advance for helping...
- Algebra - I have an assignment that asks me to write an equation in slope-...
- Algebra 1 - I've tried so hard on this and I'm completely hopeless, can somebody...