Question

(02.02 lc) if f(x) is the total number of bacteria present in a sample after x hours, which of the following statements best describes the meaning of f(2)=12? a the total number of bacteria present in the sample after 12 hours is 2. b the total number of bacteria present in the sample after 12 hours is 2. c the total number of bacteria present in the sample after 6 hours is 2. d the total number of bacteria present in the sample after 2 hours is 12. question 3 (1 point) (02.02 mc) given the function f(x)=-2x^2 + 3x + 10, find f(1) and f(3). choose the statement that is true concerning these two values. a the value of f(1) is the same as the value of f(3). b the value of f(1) cannot be compared to the value of f(3). c the value of f(1) is larger than the value of f(3). d the value of f(1) is smaller than the value of f(3).

Explanation:

Step1: Calculate f(1)

Substitute x = 1 into f(x)=-2x² + 3x + 10.
f(1)=-2(1)²+3(1)+10=-2 + 3+10 = 11

Step2: Calculate f(3)

Substitute x = 3 into f(x)=-2x² + 3x + 10.
f(3)=-2(3)²+3(3)+10=-2×9 + 9+10=-18 + 9+10 = 1

Step3: Compare f(1) and f(3)

Since 11>1, f(1) is larger than f(3).

Answer:

c. The value of f(1) is larger than the value of f(3)