Homework Help: College Calculus

Posted by John on Wednesday, September 7, 2011 at 4:15pm.

The graph A(x) has points (-3,0), (0,-2), (1,0) and (2,3).

If C(x) is defined by C(x)=A(2x+3), then what is the domain and range of C and how would the graph of C(x) look like?

Also, is there any way to find what the actual equation of A(x) is with the points listed above? Thank you for the help!

College Calculus - bobpursley, Wednesday, September 7, 2011 at 5:30pm
consider A(x) = Ax^3+Bx^2+cx + D

A(-3)=0=-27A+9B-3C + D
A(0)=-2=D that is nice
A(1)=0=A+B+C+D
A(2)=....

so you can solve for the four constants A,B,C,D and you have an equation that fits the points....if all the points are allowed in the domain.

If C(x)=A(2x+3) domain is all values of x , and range is all numbers.

Answer this Question

Related Questions

Calculus - The graph A(x) has points (-3,0), (0,-2), (1,0) and (2,3). If C(x) is...
Calculus - The graph A(x) has points (-3,0), (0,-2), (1,0) and (2,3). If C(x) is...
Calculus - Consider the function f defined by f(x)= sin x/x, x cannot equal 0 1...
calculous - 3.Given the function f defined by f(x)=2x^3-3x^2-12x+20 a.Find the ...
Calculus - 55. Find an equation of the tangent line to the graph of f(x) =x^3 - ...
calculus - On the graph of f(x)=3sin(2x), points P and Q are at consecutive ...
Calculus - Let f be the function defined by f(x)=2x+11-3e^x If the equation of ...
calculus - 4. Given the function f defined by f(x) = cos2x for -π&#...
calculus - The function f is defined by f(x) = x^3 - x^2 - 4x + 4 The point (a,b...
Calculus - What are the x-coordinates of the points of inflection for the graph...

For Further Reading

First Name:
School Subject:
Answer: