Question

If ( f(x) = 2x² + 5 √x + 2 ), then ( f(0) = ) (rounded to the nearest hundredth):

a) 2.00
b) 2.24
c) 2.50
d) 3.00

Answer 1

When the function f(x) = 2x² + 5 √x + 2 is evaluated at x = 0, f(0) equals 2. Upon rounding to the nearest hundredth, the answer is 2.00, which is option a) 2.00.

Step-by-step explanation:

To find f(0) for the function f(x) = 2x² + 5 √x + 2, we substitute x = 0 into the function:

• f(0) = 2(0)² + 5 √0 + 2
• f(0) = 2(0) + 5(0) + 2
• f(0) = 0 + 0 + 2
• f(0) = 2

Therefore, the function f(x) evaluated at x = 0 equals 2, and when rounded to the nearest hundredth, it remains 2.00.