Posted by **Wafi** on Wednesday, June 4, 2008 at 5:09am.

1 (a) A function passes through the points (0, -5), (1, 0), (2, 7). Use finite differences to

determine the equation of the function.

(b) Draw the graph of the function.

(c) Draw the inverse on the graph.

(d) Show at least two different restrictions to the domain that could be made so that the

inverse is a function.

(e) Find the equation of the inverse.

(f) Show using the domains found in part (d) that the domain of the function is the

range of the inverse and that the range of the function is the domain of the inverse.

- algebra -
**bobpursley**, Wednesday, June 4, 2008 at 6:17am
What is your question about this assignment?

- algebra -
**Reiny**, Wednesday, June 4, 2008 at 8:02am
With only those three points, the only definite thing we can say,

it is not a linear function.

With three points, I could find a quadratic function, or a cubic function.

I could even find the equation of a circle passing through those points.

To have a quadratic function, the second differences have to be all the same constant, but we only get a single value of 2, so it is not enough information.

## Answer this Question

## Related Questions

- Algebra - Graph the rational function x/(x-6) To graph the function, draw the ...
- Algebra 2 - The graph of a function passes through the points (9,-6) and (12, -...
- Algebra 2 (Please, help me!) - The graph of a function passes through the points...
- Maths - Given the equation y=2x-4 of an exponential function f 1)write down the ...
- Algebra II - Use the equation of the exponential function whose graph passes ...
- math - find the exponential function of the form y=ab^x whose graph passes ...
- Math, please help - 1)Determine the equation of the polynomial function of ...
- maths - firstly we have been given the function y= x^3 - 4x whose graph we have ...
- Algebra II - Use the equation of the exponential function whose graph passes ...
- math - Question-2; Consider the function f(x)= -cos3x -4sin3x. (a)Find the ...

More Related Questions