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Anastaziya [24]
4 years ago
12

- 2x

Mathematics
1 answer:
adoni [48]4 years ago
5 0

Answer:

f(-1) = 3

f(2) = 6

f(12) = 41

Step-by-step explanation:

Given

The piece wise function can be split to:-

f(x) = -2x   x\leq -10

f(x) = x + 4   -10

f(x) = 4x - 7   x> 2

Required

f(-1), f(2) and f(12)

To solve for each of these functions, we first check the range they fall into, then we execute the corresponding function

<h3>Solving f(-1)</h3>

-1 is within the range of -10

Hence; we make use of f(x) = x + 4  

Substitute -1 for x

f(-1) = -1 + 4

f(-1) = 3

<h3>Solving f(2)</h3>

2 is within the range of -10

Hence; we make use of f(x) = x + 4  

Substitute 2 for x

f(2) = 2 + 4

f(2) = 6

 

<h3>Solving f(12)</h3>

12 is within the range of x> 2

Hence; we make use of f(x) = 4x - 7  

Substitute 12 for x

f(12) = 4(12) - 7  

f(12) = 48 - 7

f(12) = 41

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