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Find the largest value of c such that -2 is in the range of f(x) = x^2 + 8x + c.

 Oct 13, 2022
 #1
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The largest value of c is -14.

 Oct 13, 2022
 #2
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This is a concave up parabola.

The axis of symmetry is    -b/2a  =  -8/2  = -4

when x=-4

f(-4)= 16-32+c = -16+c

 

-16+c <= -2

c <= 14

 Oct 14, 2022

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