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

Question

Mathematics

Shelly

20 March, 23:41

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

+5

Answers (1)

Know the Answer?

Karly Ryan · Answer 1

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.