STAB MATH

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A continuous piece-wise func is made with two of the 12 basic functions; the dividing point is x=1.What are all possibilities for f and g?

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Suppose f(x)=x^3, g(x) = absolute value of x, and h(x)=x+7.

What is f(g(h(-9))? What is g(f(h(-9))? Explain.

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Suppose f(x) is the greatest integer function. Suppose g(x)=e^x.

What is f(g(1))? What is g(f(1))? Explain.

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Q2: a man wakes up and his eyes are blurry. He glances at the graph of a piece-wise function and immediately knows it's wrong. How?

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Conceptual Question of the Week:

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@fermatlasttweet So I think it should be the third number in the cycle

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@fermatlasttweet I'm thinking 3, because the ones digit cycles 7, 9, 3, 1 and the remainder is 3 when you divide 2515 by 7.

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@GunniMath Can you explain why?

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@chase_math1 I got the same result for p(0) and p(1) but that formula for p(x) doesn't check out, b/c when you input 1 there you get 3.5. Think slope=2.5

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@McNamaraMath19 @mathstud101 @chase_math1 Boom. That's what I got. Simplifies to f(x)=6. You put in x, and the machine ignores what you put in, and just outputs 6.

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Conceptual Question of the week: (CCOTW): why can you cross out one x in the num and denom of the right expression, but not in the left?

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@JPerkMath No homework in the bin this year

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Link to hw problems: scroll down and you can find video solutions to most of the problems: https://t.co/UjEyu8F1Gl

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@russ_math Good question. The only info you have is that it hits the ground. That means position is 0.Set s(t)=0, solve for t, then plug this into v(t)

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@laraIM4 We can use it for that, but it's simpler to simplify it first and use the power rule. Simplify first and use the power rule when possible.

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@russ_math answer will become 0, but the other will become 40x^4, which is what we want.So in short, you don't need to count a constant as a sep. func.

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@russ_math Try using the product rule to take the deriv of 8x^5, treating 8 as one function and x^5 as a second function. You're right, one part of the

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@russ_math Great question. Treat 3x^2 as the first function and cosx as the second. Don't treat the constant as a separate function. But experiment: