Sketch a possible graph of a continuous function f that has domain [0,3], where f(0)=-3 and the graph of y=f'(x) is shown.

Thank you so much for the help. It is making the concepts far more clear.

## Similar Questions

1. ### calculus

The graph of a function f with domain [0, 4] is shown in the figure. Sketch the graph of the equation. y = f(x + 1)
2. ### Calculous

the figure shows the graph of F', the derivative of a function f. the domain of the function f is the set of all X such that -3< or equal to x<or equal to 3 a)for what values of x in the domain does f have a relative max and
3. ### Algebra 1 - Help!?

Two big questions that are driving me mad. 1) Given the following linear function sketch the graph of the function and find the domain and range. f(x) = 2/7x - 2 2) Given the following linear function sketch the graph of the
4. ### Calculus

Explain, using the theorems, why the function is continuous at every number in its domain. F(x)= 2x^2-x-3 / x^2 +9 A) F(x) is a polynomial, so it is continuous at every number in its domain. B) F(x) is a rational function, so it
5. ### algebra

2. The function f is defined as follows f(x)={4+2x if x<0 {x^2 if x>0 a) Find the domain of the function b) Locate any intercepts c) Graph function d) Based on graph find range e) Is f continuous on its domain? a) The domain
6. ### math

Use a graph to determine whether the given function is continuous on its domain. HINT [See Example 1.] f(x) = x + 7 if x < 0 2x − 5 if x ≥ 0 1 continuous discontinuous If it is not continuous on its domain, list the
7. ### Calculus

Sketch the graph of a function that is continuous at x=5 but not differentiable at x=5.
8. ### Math Graphing

Consider the linear function with equation y = 3x + 5. Sketch the graph of the linear function on the grid. h t t p : //img402 . imageshack . us/img402/1466/picture38c . j p g Here is a picture of the graph, and this is how I did
9. ### 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? (b) what is the vertex (h,k) of f? (c) what is the axis of symmetry? (d) what are the intercepts? (e) how is
10. ### pre calculus

2. Graph the following function using transformations. Be sure to graph all of the stages on one graph. State the domain and range. y= -2 lxl +2 For example, if you were asked to graph y= x^2 + 1 using transformations, you would

More Similar Questions