SOLUTION: Use the quadratic formula to determine the x-intercepts (if any) of the following function. Then evaluate the function for several values of x, and use the resulting points to gra

Algebra ->  Graphs -> SOLUTION: Use the quadratic formula to determine the x-intercepts (if any) of the following function. Then evaluate the function for several values of x, and use the resulting points to gra      Log On


   

Question 249055: Use the quadratic formula to determine the x-intercepts (if any) of the following function. Then evaluate the function for several values of x, and use the resulting points to graph the function. Show your work;
f(x) = 7x2 - 2
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = %287x%5E2+-+2%29
x+=+%28-0+%2B-+sqrt%28+0%5E2-4%2A7%2A-2+%29%29%2F%282%2A7%29+
x+=+%28-0+%2B-+sqrt%28+0%5E2-4%2A7%2A-2+%29%29%2F%282%2A7%29+
x+=+%28%2B-sqrt%28%28+56+%29%29%2F%2814%29%29+
x+=+%28%2B-sqrt2%28%28+14+%29%29%2F%2814%29+%29
x+=+%28%2B-sqrt%28%28+14+%29%29%2F%287%29%29+
x-intercepts:
(%2Bsqrt%28%28+14+%29%29%2F%287%29+, 0)
(-sqrt%28%28+14+%29%29%2F%287%29+, 0)

Some points:
(1,5)
(-1, 5)
(4, 26)
(-4, 26)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+7x%5E2+-+2%29+