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DochEvi [55]
2 years ago
11

Evaluating Piecewise Functions: Please explain your answer. Thank you.

Mathematics
1 answer:
Mama L [17]2 years ago
3 0

Answer:

f(-1) is undefined.

Step-by-step explanation:

We are given:

f(x) = \left\{        \begin{array}{ll}            -3x-11 & \quad x \leq -5\\            2 & \quad x > 5        \end{array}    \right.

And we want to find f(-1).

The piecewise function only gives us values for <em>x-</em>values less than or equal to -5 or greater than 5.

Since -1 is fits neither of those conditions, it is not defined.

Our answer is undefined.

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Factor out the coefficient of the variable 5/6s+2/3
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Okay. so I'm gonna assume you know what factor out means--were gonna take out 5/6. what we need to know is, how does that affect our ending number 2/3? well, we're gonna have 5/6 times some stuff first off, right?

5/6 ( )

so what's in the parenthesis? well, if we distribute in our mind, S would just have to be by itself for it to work out. so we have

5/6 ( s )

but what about 2/3? well, if we're multiplying everything on the inside by 5/6, how can be get it to cancel and leave 2/3 alone? we could divide 2/3 by 5/6, right?

5/6 ( s + (2/3) / (5/6) )

now, when we distribute our 5/6, we'll have just 2/3 at the end. now let's simplify that end term so it looks a little better. if we divide by a fracion, that's the same as multiplying by the flipped version, so let's do that.

2/3 / 5/6 = 2/3 × 6/5 = 2 (6) / 5 (3) = 12/15

we can reduce 12/15 by dividing the top and bottom by three.

= 4/5

so our final answer would be:

5/6 [S + 4/5] you can redistribute to make sure it matches. Anyway, hope that helps!
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good luck, hope this helped!

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