Question

For what values of k is f(x) continuous?
3x^2-11x-4 x<=4
kx^2-2x-1 x>4

Answer 1

when x = 4, f(x) must be 0

Answer 2

k*4^2-2*4-1=0

Answer 3

there's an alternative method...

Answer 4

which is kinda what i did, but i skipped steps

Answer 5

3x^2-11x-4, when x<=4.. plug in 4 into that equation:
3*4^2-11*4-4=3*16-44-4=48-44-4=0

Answer 6

Thus the second equation must also be 0 when x=4

Answer 7

lol btw that's not what the functions look like, but you have to make them touch each other