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.
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
Note