SOLUTION: How many times will the graph of y=5x^2-1 intersect: (a) The x-axis? (b) The y- axis? Thank You!

Question 718182: How many times will the graph of y=5x^2-1 intersect: (a) The x-axis? (b) The y- axis? Thank You!
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
It can intersect the y-axis either:
(a) once
(b) not at all
If it intersected more than once, that would violate the
definition of a function, which needs 1 unique value of
for each
--------------------
In this case, set to find y-crossing

so, the y-crossing is at (0,-1)
-------------------------
The x-crossing(s) is where , and there can be
(a) none
(b) one
(c) two
for a 2nd degree equation, which is what this is.
In this case there are 2 x-crossings

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