Determine which of the following functionsf(x)=cx, g(x)=cx^{2}, h(x)=csqrt{|x|}, text{and} r(x)= frac{c}{x}



Answered question


Determine which of the following functions f(x)=cx, g(x)=cx2, h(x)=c|x|, and r(x)= cx can be used to model the data and determine the value of the constant c that will make the function fit the data in the table. x41014y3220232

Answer & Explanation

Sadie Eaton

Sadie Eaton

Skilled2021-02-03Added 104 answers

Consider the given function and the table. Now, with the help of the values given in the table, plot a graph as, image Here, it can be seen that by plotting the data, the obtained graph represents a parabola. Therefore, the function which represents the data table is g(x)=cx2. The point (4, 32) is on the graph. So, substitute the point, (4, 32), in g(x)=cx2.
3216=c Solving further, c= 2 So, g(x)= 2x2 Hence, the function that can be used to model the data is g(x)=cx2 and the value of constant is c= 2.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in College Statistics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?