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f(x)=x^2

x 0 +-1 +-2 +-3
y        

2. g(x)=-2x^2

 

3. h(x)=(1/(4))x^2

 

The table for this probelms are all same.

 
BOSEOK  Aug 12, 2017
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 #1
avatar+75302 
+2

 

f(x)=x^2

for  x  =  0    ...x^2  =     (0)^2  = 0

for  x = ± 1   ...x ^2  =    (±1)^2   =   1

for  x = ± 2   ...x ^2  =    (±2)^2   =   4

for  x = ± 3   ...x ^2  =    (±3)^2   =   9

 

2. g(x)=-2x^2

for  x  =  0    ...-2x^2  =    - 2*(0)^2  = 0

for  x = ± 1   ...-2x ^2  =   - 2*(±1)^2   =   -2 * 1   = -2

for  x = ± 2   ...-2x ^2  =   - 2*(±2)^2   =   -2 * 4   = -8

for  x = ± 3   ...-2x ^2  =   - 2*(±3)^2   =   -2 * 9 = -18

 

3. h(x)=(1/4) x^2

for  x  =  0    ...(1/4)x^2  =     (1/4)*(0)^2  = 0

for  x = ± 1   ...(1/4)x ^2  =    (1/4)*(±1)^2   =   (1/4) * 1   = 1/4

for  x = ± 2   ...(1/4)x ^2  =    (1/4)*(±2)^2   =   (1/4) * 4   = 1

for  x = ± 3   ...(1/4)x ^2  =    (1/4)*(±3)^2   =   (1/4) * 9 =  9/4

 

Note, BOSEOK,  that because of symmetry,  f(x)   = f(-x)   for these functions

 

 

cool cool cool

 

Note

 
CPhill  Aug 12, 2017

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