For the polynomial function, find f (-1) and f (2)
f (x) = -x2 + 5 x3 - 6
f (-1) = ?
f (2) = ?
So, all you have to do substitute the value in for x and evaluate.
So, if your equations is f(x)= -x(2) + 5(3x) -6. Then f (-1) = −19
f (2) = 20
Hope I helped! :)
To find f(-1), substitute -1 for x in the polynomial function f(x) = -x^2 + 5x^3 - 6:
f(-1) = -(-1)^2 + 5(-1)^3 - 6
= -1 + 5(-1) - 6
= -1 - 5 - 6
= -12
Therefore, f(-1) = -12.
To find f(2), substitute 2 for x in the polynomial function f(x) = -x^2 + 5x^3 - 6:
f(2) = -(2)^2 + 5(2)^3 - 6
= -4 + 5(8) - 6
= -4 + 40 - 6
= 30
Therefore, f(2) = 30.
To find f(-1), we substitute -1 for x in the function f(x) = -x^2 + 5x^3 - 6:
f(-1) = -(-1)^2 + 5(-1)^3 - 6
To solve this expression, we first need to simplify the terms:
f(-1) = -1 + 5(-1) - 6
Now we can perform the multiplication and addition/subtraction:
f(-1) = -1 - 5 - 6
Finally, we add or subtract the numbers to find the value of f(-1):
f(-1) = -12
Therefore, f(-1) = -12.
Now let's find f(2). Similar to what we did earlier, we substitute 2 for x in the function f(x):
f(2) = -(2)^2 + 5(2)^3 - 6
Again, simplifying the terms:
f(2) = -4 + 5(8) - 6
Performing the multiplication and addition/subtraction:
f(2) = -4 + 40 - 6
And finally:
f(2) = 30
Therefore, f(2) = 30.