Question

The function q is defined by q(x) = 5(−1)x , where xis an integer. what is the value of q(6) ?

Answer 1

The value of q(6) is 5.

Step-by-step explanation:

The function q is defined as q(x) = 5(-1)^x, where x is an integer.

To find the value of q(6), substitute x with 6 in the function. q(6) = 5(-1)^6. (-1)^6 is equal to 1 since any number raised to an even power is positive.

Therefore, q(6) = 5(1) = 5.

Answer 2

To calculate q(6) for the function q(x) = 5(−1)x, substitute x with 6, giving us q(6) = 5(−1)6. Because 6 is an even integer, (−1)6 equals 1, resulting in q(6) = 5.

Step-by-step explanation:

To find the value of q(6) for the function q(x) = 5(−1)x, where x is an integer, we need to substitute x with 6 in the equation and then solve for q(6). Let's substitute x with 6:

q(6) = 5(−1)6

Since the exponent is even,

(−1)6 = 1.

Therefore,

q(6) = 5 × 1

= 5.

The value of q(6) is 5.