# algebra

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.

1. 👍
2. 👎
3. 👁

1. 👍
2. 👎
👤
bobpursley
2. the whole thing
if u know da workin out

1. 👍
2. 👎
3. 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.

1. 👍
2. 👎

## Similar Questions

1. ### algebra

Consider the scatter plot shown. Which shows the line of best fit? Explain your reasoning. A scatter plot is shown in the xy-plane. The values on the x-axis range from 0 to 9 in increments of 1 and the values on the y-axis range

2. ### MATH HELP

Write the equation of the line that passes through the points (3, 6) and (4, 10) using function notation. f(x) = 4x − 6 f(x) = x + 4 y = x + 4 y = 4x − 6

3. ### algebra

Write an equation of an exponential function that passes through the points (2, 18) and (5, 486)

4. ### Pre-Calc

An exponential function f(x)=a(b)^x passes through the points (0,9000) and (2,2250). What are the values of a and b?

1. ### math

The ratio of a quarterback’s completed passes to attempted passes is 7 to 9. If he attempted 45 passes, find how many passes he completed. Round to the nearest whole number if necessary. A. 9 passes B. 58 passes C. 5 passes D.

2. ### Math

A line passes through the points (1,2) and (5,3). Another line passes through the points (5,3) and (0,0). Will the two lines intersect? Explain your reasoning.

3. ### Calculus

Sketch the region on paper. If it is a finite region, find its area. Round your answer to three decimal places. (If the area is not finite, enter NONE.) S = {(x,y) | x ≥ −4, 0 ≤ y ≤ e-x/2}

4. ### Math

Explain in a variety of ways how you can distinguish the exponential function f(x)=2^x from the quadratic function f(x)=x^2 and linear function f(x)=2x. (Hint: Compare the rate of change using finite differences in table of

1. ### Math

Write the equation of the rational function that passes through the points (0,0) and (4,8/7), has the x-axis as a horizontal asymptote, and has 2 vertical asymptotes at x=3 and x=-3.

2. ### Algebra II

Use the equation of the exponential function whose graph passes through the points (0,-2) and (2,-50) to find the value of y when x = -2. I know the formula is y=ab^x but I don't know what numbers to plug in. Any help would be

3. ### algebra 2

Find an exponential function of the form y=ab^x whose graph passes through the points (2,1) and (3,2).

4. ### Vectors

The shortest distance between a point and a line occurs at: a) infinitely many points b) one unique point c) random points d) a finite number of points