Evaluate the following function for the given value of x.
f(x)=2x^2-x+3
Find f(-4)
a) 39
b) -9
c) 71
d) 31
To evaluate the function f(x) = 2x^2 - x + 3 for x = -4, substitute -4 for x in the function:
f(-4) = 2(-4)^2 - (-4) + 3
= 2(16) + 4 + 3
= 32 + 4 + 3
= 36 + 3
= 39
Therefore, f(-4) = 39, so the correct option is a) 39.
To find the value of f(x) when x = -4, we substitute -4 for x in the function f(x) = 2x^2 - x + 3:
f(-4) = 2(-4)^2 - (-4) + 3
First, we calculate -4 squared: (-4)^2 = 16.
Next, we substitute the value of -4 into the function:
f(-4) = 2(16) - (-4) + 3
We simplify the equation further:
f(-4) = 32 + 4 + 3
Now, we add the numbers together:
f(-4) = 39
Therefore, the value of f(-4) is 39. Thus, the correct answer is (a) 39.
To evaluate the function f(x) = 2x^2 - x + 3 for the given value of x = -4, we substitute -4 into the function and simplify.
Step 1: Substitute x = -4 into the function:
f(-4) = 2(-4)^2 - (-4) + 3
Step 2: Simplify inside the parentheses first:
f(-4) = 2(16) + 4 + 3
Step 3: Multiply and add within each term:
f(-4) = 32 + 4 + 3
Step 4: Add all the terms together:
f(-4) = 39
Therefore, evaluating f(x) for x = -4 gives the answer of 39.
Therefore, the correct answer is option a) 39.