Evaluate the following function for the given value of x.
Find f(-4)
f(x)=2x^2 -x+3
To find f(-4), substitute -4 for x in the function f(x)=2x^2 -x+3:
f(-4) = 2(-4)^2 - (-4) + 3
Evaluate the exponent first:
f(-4) = 2(16) - (-4) + 3
Calculate the products and addition:
f(-4) = 32 + 4 + 3
f(-4) = 39
Therefore, f(-4) = 39.
To evaluate the function f(x) = 2x^2 - x + 3 for the given value of x = -4, follow these steps:
Step 1: Replace x with -4 in the function expression.
f(-4) = 2(-4)^2 - (-4) + 3
Step 2: Simplify the expression inside the parentheses first.
f(-4) = 2(16) - (-4) + 3
Step 3: Evaluate the exponents.
f(-4) = 32 + 4 + 3
Step 4: Add and subtract to simplify the expression.
f(-4) = 36 + 3
Step 5: Calculate the sum.
f(-4) = 39
Therefore, when x is equal to -4, the value of the function f(x) is 39.
To evaluate the function f(-4), we need to substitute -4 for x in the given function f(x).
f(x) = 2x^2 - x + 3
Now replace x with -4:
f(-4) = 2(-4)^2 - (-4) + 3
To simplify, we need to follow the order of operations (PEMDAS/BODMAS) and evaluate each part separately:
First, square -4:
(-4)^2 = 16
Now multiply by 2:
2 * 16 = 32
Next, multiply -1 by -4:
-1 * -4 = 4
Finally, add all the terms together:
32 - 4 + 3 = 31
Therefore, f(-4) = 31.