Question

Find f(-3), f(-1.1), f(0.9), and f(3.14) for f(x) = |x| + 1:

A. 2, 0.1, 1.9, 4.14
B. 4, 1.1, 2.9, 4.14
C. 4, 2.1, 2.9, 4.14
D. 2, 1.1, 1.9, 4.14

Answer 1

For the function f(x) = |x| + 1, the values are calculated by taking the absolute value of x and adding 1. Thus, f(-3) = 4, f(-1.1) = 2.1, f(0.9) = 1.9, and f(3.14) = 4.14, which corresponds to option C.

Step-by-step explanation:

To find the values of f(x) for the given function f(x) = |x| + 1, we substitute the values of x accordingly:

• For f(-3): Absolute value of -3 is 3, so f(-3) = |(-3)| + 1 = 3 + 1 = 4.
• For f(-1.1): Absolute value of -1.1 is 1.1, so f(-1.1) = |(-1.1)| + 1 = 1.1 + 1 = 2.1.
• For f(0.9): Absolute value of 0.9 is 0.9, so f(0.9) = |0.9| + 1 = 0.9 + 1 = 1.9.
• For f(3.14): Absolute value of 3.14 is 3.14, so f(3.14) = |3.14| + 1 = 3.14 + 1 = 4.14.

Therefore, the correct answers are:

• f(-3) = 4
• f(-1.1) = 2.1
• f(0.9) = 1.9
• f(3.14) = 4.14

Looking at the provided options, the correct answer is C: 4, 2.1, 1.9, 4.14.