SOLUTION: A quadratic function has roots 3 and - 5, which passes through the point (1, 5). Under what conditions will it intersect with a line of slope -4 once? Twice? Never?
Question 1188454: A quadratic function has roots 3 and - 5, which passes through the point (1, 5). Under what conditions will it intersect with a line of slope -4 once? Twice? Never? Answer by Solver92311(821) (Show Source):
Quadratic with roots 3 and -5 that passes through (1,5).
Hence and
Set the first derivative equal to -4 and solve:
All lines with slope -4 have an equation of the form . Since a line with a slope of -4 is tangent to the graph of the quadratic function at the point , or , the line intersects the function graph exactly once. Any line of the form where will not intersect the function graph anywhere. And where , the line will intersect the function graph in two places.
John
My calculator said it, I believe it, that settles it
From
I > Ø
