Question

For the linear function f(x) = 7x - 4, find the range of f(x) at x = -2,0, and 2.

A) f(-2) = 10, f(0) = -4,f(2) = -18
B) f(-2) = -18, f(0) = 4, f(2) = 10
C) f(-2) = -18, f(0) = -4, f(2) = 10
D) f(-2) = 18, f(0) = -4, f(2) - 10

Answer 1

To find the range of the linear function f(x) = 7x - 4 for x = -2, 0, and 2, substitute each value into the function. After calculation, the resulting values are f(-2) = -18, f(0) = -4, and f(2) = 10, so the correct answer is Option C.

Step-by-step explanation:

The question asks us to find the range of the linear function f(x) = 7x - 4 for specific values of x (-2, 0, and 2). To find the range, we simply substitute these values of x into the function and calculate f(x).

Let's calculate each one:

• For x = -2: f(-2) = 7(-2) - 4 = -14 - 4 = -18
• For x = 0: f(0) = 7(0) - 4 = 0 - 4 = -4
• For x = 2: f(2) = 7(2) - 4 = 14 - 4 = 10

Therefore, the correct response that matches these results is:

1. f(-2) = -18
2. f(0) = -4
3. f(2) = 10

So the correct answer is Option C.