Question 1200188
Determine the set of values of the constant k for which the line y = 4x + k does not
intersect the curve y = x^2
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The slope, m, of y = 4x + k is 4.
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Find the point on y = x^2 where the slope is 4:
y' = 2x is the slope at any point on y = x^2
2x= 4 at x = 2
The point (2,4) is where the line is tangent to the parabola.
---> k < -4