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What is the function if the domain is 0 0.5 2 3 and the range is 0 0.5 2 4.5?
There are 24 possible functions: One of these is f(0) = 2 f(0.5) = 4.5 f(2) = 0.5 f(3) = 0 The four numbers in the range can be placed opposite the domain in any order.
Is this relation a function2 -3 -4 2 6 2 -5 -3 -3 0?
If the terms are pairwise mappings ie f(2) = -3, f(-4) = 2 etc, then yes.
What is 400 degrees C equal to in degree F?
752 F
What is the slope of the tangent line to y equals x3 at x equals 4?
Do you mean y=3x or y=x3? I'll assume it's the latter. The first method to solving this is the easiest, the chain rule. Multiply the coefficient by the value of the exponent and reduce the exponent by 1. (f(x)=nAxn-1) You get y=3x2 Therefore, f(4)=3(42) f(4)=48 The longer method of solving this goes as follows: Your tangent formula is f'(x)=limh->0(f(x+h)-f(x))/h We know that f(x)=x3 so f(x+h)=(x+h)3 When we put this in the formula we have: f'(x)=limh->0((x+h)3-x3)/h f'(x)=limh->0((x+h)(x+h)(x+h)-x3)/h f'(x)=limh->0((x2+2hx+h2)(x+h)-x3)/h f'(x)=limh->0(x3+x2h+2x2h+2xh2+xh2+h3-x3)/h f'(x)=limh->0(3x2+3xh+h2) f'(x)=3x2+3x(0)+(02) f'(x)=3x2 And from there again we sub in 4 for x. f'(4)=3(42) f'(4)=48
What is the value of F?
-0-0
