Answer :
To find the value of [tex]\( f(2) \)[/tex] for the function [tex]\( f(x) = 2x^3 - 2 \)[/tex], follow these steps:
1. Substitute [tex]\( x = 2 \)[/tex] into the function:
Plug in 2 for [tex]\( x \)[/tex] in the expression [tex]\( 2x^3 - 2 \)[/tex].
2. Calculate [tex]\( 2^3 \)[/tex]:
[tex]\( 2^3 = 2 \times 2 \times 2 = 8 \)[/tex].
3. Multiply by 2:
Now, take the result from the previous step and multiply by 2:
[tex]\( 2 \times 8 = 16 \)[/tex].
4. Subtract 2:
Finally, subtract 2 from the result:
[tex]\( 16 - 2 = 14 \)[/tex].
Therefore, the value of [tex]\( f(2) \)[/tex] is 14. The correct answer is C. 14.
1. Substitute [tex]\( x = 2 \)[/tex] into the function:
Plug in 2 for [tex]\( x \)[/tex] in the expression [tex]\( 2x^3 - 2 \)[/tex].
2. Calculate [tex]\( 2^3 \)[/tex]:
[tex]\( 2^3 = 2 \times 2 \times 2 = 8 \)[/tex].
3. Multiply by 2:
Now, take the result from the previous step and multiply by 2:
[tex]\( 2 \times 8 = 16 \)[/tex].
4. Subtract 2:
Finally, subtract 2 from the result:
[tex]\( 16 - 2 = 14 \)[/tex].
Therefore, the value of [tex]\( f(2) \)[/tex] is 14. The correct answer is C. 14.
