# College alg

posted by .

Analyze the graph of the following function as follows:

(a) Find the x- and y-intercepts.

(b) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|.

(c) Find the maximum number of turning points.

f(x)=x^2(x+2)

• College alg -

y intercept when x = 0 so (0,0)
when x is large positive this is x^3 + tiny
when x is large negative, this is x^3 - tiny
f(x) = x^3 + 2 x^2
that is a cubic and turns twice

## Similar Questions

Please explain to me how to do the following problems, I don't understand them. Thanks! Find the x-intercepts (if any) for the graph of the quadratic function. 1.f(x) = (x + 2)2 - 4 Find the y-intercept for the graph of the quadratic …

3. ### precalculus

analyzethe graph of the function Find the x- and y-intercepts. (b) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|. (c) Find the maximum number of turning points. (d) Graph …
4. ### Functions/End behavior

f(x)=x^2(x^2-2)(x+2) Determine the end behavior, find the power function that the graph of f resembles for large values of |x| Find the maximum number of turning points
5. ### 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?
6. ### College Algebra

1.The graph of y = - 1/2 |x - 5| - 3 can be obtained from the graph of y = |x| by which transformations?
7. ### College Algebra

Using the 7 steps outlined in section 4.3 of your book, analyze the graph of the following function: R(x) = x^2 - 49/x^4 - 16 Step 1: Factor the numerator and denominator of R and find its domain. If 0 is in the domain, find y-intercept, …
8. ### math pre calculus

find the following for the function f(x)=(x+5)^2(x-2)^2 a.find the x and y intercepts, b.find the power function that the graph ressembles for large values of x c.determine the maximum number of turning points on the graph of f d.determine …
9. ### pre calculus

find the following for the function f(x)=(x+3)^2(x-1)^2 a.) find the x and y intercept of the polynomial function f. b.)find the power function that the graph of f ressembles for large values of lxl. c.)determine the maximum number …
10. ### Algebra

analyze the graph f(x)=(x-2)^3(x-3)^2(x-4) a)end behavior: find the power function that the graph of f resembles for large values of absolute value of x

More Similar Questions