# College Calculus

posted by .

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 -

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.

## Similar Questions

1. ### algebra

what would a graph look like if.. y= (3/4)x + 2 and the domain is... x = {-8,-4,0,4,8} would it be discrete or continous?
2. ### pre calculus

I believe that the domain for f(x) = log subscript 3 (1-x) is x is a real number I think the range for the same equation is y > 1 . the domain of log (1-x) would be such that 1-x > 0 -x>-1 x < 1 whereas the range would …
3. ### calculus

You have an 8.5 inch by 11 inch piece of paper. You need to cut out four squares in each corner of the box so you can fold the sides of the paper and create a volume for the box. 1. Write an equation that represents the volume of the …
4. ### Calculus

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?
5. ### Calculus

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?
6. ### College Algebra

1.Answer the following for the given quadratic function. f(x) = -2x^2 - 8x - 13 (a) does the graph of f open up or down?
7. ### college algebra

Graph the following function using transformations.  Be sure to graph all of the stages on one graph.  State the domain and range.    For example, if you were asked to graph  y= x^2+11 using transformations, you would show …
8. ### college algebra

Question 638522: Graph the following function using transformations. Be sure to graph all of the stages on one graph. State the domain and range. For example, if you were asked to graph y= x^2+ 1 using transformations, you would show …
9. ### Math 222

This is the second part to my first question A quadratic function Graph the function g(x) = 4 − x2, and state the domain and range. Solution We plot enough points to get the correct shape of the graph. See Fig. 11.10 for the …
10. ### Math 222

This is the second part to my first question A quadratic function Graph the function g(x) = 4 − x2, and state the domain and range. Solution We plot enough points to get the correct shape of the graph. See Fig. 11.10 for the …

More Similar Questions

Post a New Question