Question

F(x) = 2x² + 4, find:

A) f(2) = 22
B) f(-4) = 16
C) f(0) = 4
D) f(0.5) = -0.5
E) f(4) = 40

Answer 1

To find the value of the function f(x) at specific points, we substitute the values of x into the function. The correct evaluations show that some of the provided answers are incorrect; f(2) should be 12, f(-4) should be 36, f(0.5) should be 4.5, and f(4) should be 36.

Step-by-step explanation:

To find the values of the function f(x) = 2x² + 4 at specific points, we substitute the given values of x into the function and calculate the result.

• A) To find f(2), substitute x with 2: f(2) = 2(2)² + 4 = 2(4) + 4 = 8 + 4 = 12 (The answer provided as 22 is incorrect).
• B) To find f(-4), substitute x with -4: f(-4) = 2(-4)² + 4 = 2(16) + 4 = 32 + 4 = 36 (The answer provided as 16 is incorrect).
• C) To find f(0), substitute x with 0: f(0) = 2(0)² + 4 = 0 + 4 = 4 (This answer is correct).
• D) To find f(0.5), substitute x with 0.5: f(0.5) = 2(0.5)² + 4 = 2(0.25) + 4 = 0.5 + 4 = 4.5 (The answer provided as -0.5 is incorrect).
• E) To find f(4), substitute x with 4: f(4) = 2(4)² + 4 = 2(16) + 4 = 32 + 4 = 36 (The answer provided as 40 is incorrect).