SOLUTION: Find the x-intercepts and y-intercepts for f(x). {{{f(x)=x^2-7x+2}}}

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Question 394775: Find the x-intercepts and y-intercepts for f(x).
f%28x%29=x%5E2-7x%2B2



Found 3 solutions by solver91311, tam144, MathTherapy:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Since this is a function, it is only possible to have one y-intercept. The y-intercept for any function is if exists.

The x-intercepts of any quadratic function are and where and are the zeros of the function if they exist. Set the function equal to zero and solve. The given quadratic does not factor over the rational numbers, so use the quadratic formula to find the two zeros.

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Answer by tam144(6) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the quadratic equation: x^2 - 7x + 2 = 0. The 2 roots are both positive.
d^2 = b^2 - 4ac = 49 - 8 = 41 --> d # 6.4, and d # -6.4.
Use the Quadratic Formula In Intercept Form (see Algebra.com)
x1 = 7/2 + 6.4/2 = 3.5 + 3.2 # 6.7.
x2 = 3.5 - 3.2 # 0.3.
The 2 x-intercepts are approximately: (0.3) and (6.7).
Check: Their sum is 9 = -b, and their product is app# 2 = c/a. OK

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

Find the x-intercepts and y-intercepts for f(x).
f%28x%29=x%5E2-7x%2B2
f%28x%29+=+x%5E2+-+7x+%2B+2

x-intercept:

Substitute 0 for y in the equation, and solve for x. There should be TWO x-intercepts or roots, or zeroes.

y-intercept:

Substitute 0 for x in the equation, and solve for y. There should be ONE y-intercept.

You can do the check!! 

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