SOLUTION: given the function x squared -6x=5 answer the following A) Is the point (-3,32) on the graph f? b)List the Y intercepts c)List the X intercepts? d)What is the domain of f(

Algebra ->  Functions -> SOLUTION: given the function x squared -6x=5 answer the following A) Is the point (-3,32) on the graph f? b)List the Y intercepts c)List the X intercepts? d)What is the domain of f(      Log On


   

Question 741295: given the function x squared -6x=5 answer the following

A) Is the point (-3,32) on the graph f?
b)List the Y intercepts
c)List the X intercepts?
d)What is the domain of f(x)?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2+-6x=5

A) Is the point (-3,32) on the graph f?

f%28x%29=x%5E2-6x-5
32=%28-3%29%5E2-6%28-3%29-5
32=9%2B18-5
32%3C%3E22.....so, the point (-3,32) is not on the graph f
b)List the y-intercepts
f%28x%29=x%5E2-6x-5....set x=0
f%280%29=0%5E2-6%2A0-5
f%280%29=-5.......the y-intercept is at (0,-5)



c)List the x-intercepts?
f%28x%29=x%5E2-6x-5....set f%28x%29=0
0=x%5E2-6x-5....solve for x

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

x+=+%28-%28-6%29+%2B-+sqrt%28+%28-6%29%5E2-4%2A1%2A%28-5%29+%29%29%2F%282%2A1%29+

x+=+%286+%2B-+sqrt%2836%2B20+%29%29%2F2+

x+=+%286+%2B-+sqrt%2856%29%29%2F2+

x+=+%286+%2B-+7.48%29%2F2+
solutions:
x+=+%286+%2B+7.48%29%2F2+
x+=+13.48%2F2+
x+=+6.74+
or
x+=+%286+-7.48%29%2F2+
x+=+-1.48%2F2+
x+=+-0.74+

the x-intercepts are at (6.74,0) and (-0.74,0)

d)What is the domain of f(x)?
all real numbers x in interval
(-infinity,infinity)

+graph%28+600%2C+600%2C+-10%2C+10%2C+-20%2C+10%2C+x%5E2-6x-5%29+