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25 June, 18:30

This function f (x) has a domain of x = {-a, - b, a, b}.

In order, the x values are - a, - b, b, a.

In order, the f (x) values are 3c + 1, 2d - 5, 4d + 3, 6 - 2c.

Which values of c and d make this an even function?

a. c = - 7 and d = 1/3

b. c = 5 and d = 1/3

c. c = - 5 and d = - 4

d. c = 1 and d = - 4

e. c = - 7 and d = - 4

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Answers (1)
  1. 25 June, 18:39
    0
    d. c = 1 and d = - 4

    Step-by-step explanation:

    If a function is even, then f (-x) = f (x). Graphically, this means it's symmetrical about the y-axis.

    f (-a) = f (a)

    3c + 1 = 6 - 2c

    5c = 5

    c = 1

    f (-b) = f (b)

    2d - 5 = 4d + 3

    -2d = 8

    d = - 4

    Therefore, c = 1 and d = - 4.
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