Question

Find the value of c(−2) is defined c(t)=t²-2t-4?
A) 14
B) -20
C) 20
D) -14

Answer 1

The correct value of c(-2) for the function c(t) = t² - 2t - 4 is 4, after following the steps of squaring -2, doubling -2, adding them together, and finally subtracting 4. The provided options in the question do not include the correct answer, indicating a potential mistake in the question or options.

Step-by-step explanation:

The function given is c(t) = t² - 2t - 4 and the task is to find the value of c(-2). To solve for c(-2), we need to substitute t with 2 in the function.

c(-2) = (-2)² - 2(-2) - 4

First, calculate the square of -2: (-2)² = 4.

Then, multiply -2 by -2: 2(-2) = 4.

Now, add these values: 4 + 4 = 8.

Finally, subtract 4 from this sum: 8 - 4 = 4.

So, c(-2) = 4, which is not one of the options provided in the question. It seems there has been a mistake in the options given or in the interpretation of the function. The correct evaluation of c(-2) according to the function provided is 4.