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Given the Graph of Y = F(x): Sketch the Graph

question 106

Essay

Given the graph of y = f(x):  Given the graph of y = f(x):   Sketch the graph of each of the following functions: (a)  - f ( x )   (b)  f ( - x )   (c)  f ^ { \prime } ( 2 x )   (d)  2 f ( x )   (e)  - f ( - x )   (f)  f \left( \frac { 1 } { 2 } x \right)   (g)  \frac { 1 } { 2 } f ( x )   (h) f  ( x + 1 )   (i)  f ( x ) -  1 (j) 1  - f ( x ) Sketch the graph of each of the following functions:
(a) f(x)- f ( x )
(b) f(x)f ( - x )
(c) f(2x)f ^ { \prime } ( 2 x )
(d) 2f(x)2 f ( x )
(e) f(x)- f ( - x )
(f) f(12x)f \left( \frac { 1 } { 2 } x \right)
(g) 12f(x)\frac { 1 } { 2 } f ( x )
(h) f (x+1)( x + 1 )
(i) f(x)f ( x ) - 1
(j) 1 f(x)- f ( x )


Definitions:

Ethnic Identity

The aspect of individuals' self-conception and sense of belonging that is related to their culture or racial group.

Discrimination

is the unjust or prejudicial treatment of different categories of people, especially on the grounds of race, age, or gender.

Oppositional Identity Formation

A process in which individuals develop identities that are in opposition to mainstream or dominant cultural norms, often in response to stigma or marginalization.

Identity Foreclosure

A stage in identity development where an individual commits to an identity without exploring other options.

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