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calculus

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For what values of a and b that make the function f continuous everywhere.

f(x)= {x−2x2−4 if x<2
ax2−bx−18 if 2< or =x<3
10x−a+b if x> or =3

  • calculus - ,

    look at 2
    x^2-2x-4=ax^2-bx-18
    4-4-4=4a-2b-18
    2a-b=-18 check that.

    at x=3
    ax^2-bx-18=10x-a+b
    9a-3b-18=30-a+b
    10a-4b=48

    Now you have two equations, two unknowns, solve.

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