Question

A) Complete the table of values for y= 2x³ - 2x + 1

1
-0.5
X
b)
y
A
-3
-5
b) Which is the correct curve for y= 2x³ - 2x + 1
A
X
-2
B
-1
2.5
0
A
-5
C
B
Only 1 attempt allowed.
2
-5
с
·X

Answer 1

A) Completing the table of values for y = 2x³ - 2x + 1:

When x = 1:

y = 2(1)³ - 2(1) + 1

y = 2 - 2 + 1

y = 1

When x = -0.5:

y = 2(-0.5)³ - 2(-0.5) + 1

y = -0.5 - (-1) + 1

y = -0.5 + 1 + 1

y = 1.5

When x = X (unknown value):

y = 2(X)³ - 2(X) + 1

y = 2X³ - 2X + 1

b) Based on the table of values provided, the correct curve for y = 2x³ - 2x + 1 would be represented by option C, where the values for x and y align with the given table entries.

A: (-3, -5)

B: (-2, 0)

C: (-1, 2)

D: (2.5, 2)

E: (0, 1)

F: (-5, -5)

Therefore, the correct curve is represented by option C.