The piece-wise linear functions can be written as follows:
.
.
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<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For x equal or less than -2, the line passes through (-3,-3) and (-2,-2), hence the rule is:
.
For x greater than -2 up to 1, the y-intercept is of -7, and the line also passes through (1,-8), hence the rule is:
.
For x greater than 1, the function goes through (2,-5) and (3,-3), hence the slope is:
m = (-3 - (-5))(3 - 2) = 2.
The rule is:
y = 2x + b.
When x = 2, y = -5, hence:
-5 = 2(2) + b
b = -9.
Hence:
.
More can be learned about linear functions at brainly.com/question/24808124
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A^4 * a^6
exponent rule : x^y * x^z = x^(y + z)
so, a^4 * a^6 = a^(4 + 6) = a^10
Answer:
451, 551, 651, 751, 851, 951, 1051, 1151,
Step-by-step explanation:
you're adding 1 each time you progress through the pattern. Btw pls rate me BRAINLYIEST im in 8th grade.
Answer:
The answer is 622,100
Step-by-step explanation:
The answer is 622,100 because the 1 in the tens place is smaller then a 5 so it gets rounded down to 0.
So, the answer is 622,100
Hope this helps! :)
Answer:
ok
Step-by-step explanation: