Answer:
ƒ(x) = 3|x – 2| + 1
To find f(-2) substitute - 2 into f(x)
That's
f(-2) = 3| - 2 - 2 | + 1
= 3| - 4| + 1
But absolute value of any number is positive including negative numbers
That's
| - 4 | = 4
So we have
3(4) + 1
12 + 1
<h2>f(-2) = 13</h2>
To find f(1) substitute 1 into f(x)
That's
f(1) = 3 | 1 - 2| + 1
= 3 | - 1| + 1
But | - 1| = 1
= 3(1) + 1
= 3 + 1
<h2>f(1) = 4</h2>
Hope this helps you
Answer:
Step-by-step explanation:
Central angle = measure of the arc it subtends
Therefore:
![\arc{PN} = \arc{PM} = 138](https://tex.z-dn.net/?f=%20%5Carc%7BPN%7D%20%3D%20%5Carc%7BPM%7D%20%3D%20138%20)
A full circle = 360°
So,
![\arc{PN} + \arc{PM} + \arc{NM} = 360](https://tex.z-dn.net/?f=%20%5Carc%7BPN%7D%20%2B%20%5Carc%7BPM%7D%20%2B%20%5Carc%7BNM%7D%20%3D%20360%20)
Plug in the values
![138 + 138 + \arc{NM} = 360](https://tex.z-dn.net/?f=%20138%20%2B%20138%20%2B%20%5Carc%7BNM%7D%20%3D%20360%20)
![276 + \arc{NM} = 360](https://tex.z-dn.net/?f=%20276%20%2B%20%5Carc%7BNM%7D%20%3D%20360%20)
(subtraction property of equality)
![\arc{NM} = 84](https://tex.z-dn.net/?f=%20%5Carc%7BNM%7D%20%3D%2084%20)
![\arc{PNM} = \arc{NM} + \arc{PN}](https://tex.z-dn.net/?f=%20%5Carc%7BPNM%7D%20%3D%20%5Carc%7BNM%7D%20%2B%20%5Carc%7BPN%7D%20)
Plug in the values
Hey there!!!
Given equation :
... - 3 ( 2x - y ) + 2y + 2 ( x + y )
... -6x + 3y + 2y + 2x + 2y
... -6x + 5y + 2x + 2y
... -4x + 7y
( or )
... 7y - 4x
Hope helps!
Answer:
-1
Step-by-step explanation:
The given function, f(x), has three distinct parts. We must find and choose the part whose domain includes x = 1.
This x = 1 is a member of the set 1 ≤ x < 2. Therefore, we choose the 2nd part of this function: evaluate -x^2 at x = 1. This comes out to -1^2, or -1. that's the second answer choice.