Please check my Algebra
posted by Em .
Determine the maximum possible number of turning points for the graph of the function.
f(x) = 8x^3  3x^2 + 8x  22
I got 2
f(x) = x^7 + 3x^8
I got 7
g(x) =  x + 2
I got 0
How do I graph f(x) = 4x  x^3  x^5?

Please check my Algebra 
Reiny
do you know calculus???
first I factored it to
f(x) = x(x^4 + x^2  1)
treating the big bracket as a quadratic, I found x=0, x = ±1.11 and 2 complex roots.
finding the second derivative, setting that equal to zero and solving I got x=0 and x=5/2
so there are two points of inflection, namely at x=0 and at x=5/2
Lastly since the highest power term was negative and an odd exponent, the curve "drops" into the fourth quadrant
so your graph comes down from the second quadrant, crosses at 1.11, comes back up crossing at 0, then comes back down to cross at 1.11. It does a little S bend at x=5/2
You will have to use a different scale for your x and y axes. 
Please check my Algebra 
Reiny
BTW, your first two answers are correct
Respond to this Question
Similar Questions

Algebra
Could you please check my work. Determine whether the realtion is a funtion. 2.{(6,2),(2,5),(3,2),(3,7)} Not a function 2. Determine whether the equation defines y as a function of x. 2x+4y=15 the answer I got is y is a fucntion … 
Algebraplease check my work
check my answers please. Use the Intermediate Value Theorem to determine whether the polynomial function has a real zero between the given integers. f(x) = 2x3 + 10x2  8x  5; between 1 and 2 I got: f(1)=1 and f(2)=35;no Determine … 
Functions
Determine the maximum possible number of turning points for the graph of the fucntion. g(x)=1/5x + 2 I got 0 How do I graph f(x)=x^54x^312x 
precalculus
analyzethe graph of the function Find the x and yintercepts. (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 … 
precalculus
Determine the maximum and minimum number of turning points for the function h(x) = 2x^4  8x^3 + 5x 6. Maximum:3 Minimum:1 Is this a valid reason: A quartic polynomial function has a 3 Turning points. The turning point is always … 
Math
Determine the maximum and minimum number of turning points for the function h(x) = 2x^4  8x^3 + 5x 6. Maximum:3 Minimum:1 Is this a valid reason: A quartic polynomial function has a 3 Turning points. The turning point is always … 
math percents
Can you check these? 18% of 90 is what number? 
Math mrs sue
Can you check these? 18% of 90 is what number? 
math pre calculus
find the following for the function f(x)=(x+5)^2(x2)^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 … 
PreCalculus
For the function f(x)=12x^3+4x^227x9 describe the end behavior. Find the real zeros of f and determine whether the graph crosses or touches the xaxis at each xintercept. Use the zeros of f and test numbers to find the intervals …