Question

If f(x) = x + 14, then find the value of f(12), f(-4), and f(0).

a. f(12) = 26, f(-4) = 10, f(0) = 14
b. f(12) = 14, f(-4) = -18, f(0) = 0
c. f(12) = 28, f(-4) = 10, f(0) = 14
d. f(12) = 0, f(-4) = 14, f(0) = -14

Answer 1

The correct values are f(12) = 26, f(-4) = 10, f(0) = 14. Thus option a is correct.

Step-by-step explanation:

The function f(x) = x + 14 represents a linear equation where 'x' is the input variable. To find the values of f(12), f(-4), and f(0), substitute the given values of x into the function.

f(12): Substitute x = 12 into the function f(x) = x + 14

f(12) = 12 + 14 = 26

f(-4): Substitute x = -4 into the function f(x) = x + 14

f(-4) = -4 + 14 = 10

f(0): Substitute x = 0 into the function f(x) = x + 14

f(0) = 0 + 14 = 14

Therefore, the correct values are f(12) = 26, f(-4) = 10, and f(0) = 14, which align with option a. This solution demonstrates how to apply the function to each given value of x and determine the corresponding output values.

Thus option a is correct.