Question

For the function f(x)=6x−2: a. f(2) = ? b. f(−2) = ? a) a. 10, b. −14 b) a. 14, b. −10 c) a. 8, b. −8 d) a. 12, b.−12

Answer 1

a. For the function f(x)=6x−2, f(2) = 10. b. Similarly, f(−2) = −14.

Step-by-step explanation:

To find f(2), substitute x=2 into the function f(x)=6x−2:

`\[ f(2) = 6 * 2 - 2 = 12 - 2 = 10. \]`

So, the correct answer for part a is 10.

For f(−2), substitute x=−2 into the function:

`\[ f(-2) = 6 * (-2) - 2 = -12 - 2 = -14. \]`

Thus, the correct answer for part b is -14.

In summary, to evaluate the function at a specific value, substitute that value into the function expression. In this case, plugging in x=2 yields f(2) = 10, and substituting x=−2 gives f(−2) = −14. Understanding the process of substituting values into functions is fundamental to solving such problems and interpreting the behavior of mathematical functions.