Math

QuestionFind f(x)=2f(x)=2. Calculate f(7)f(7), f(7)f(-7), f(1.6)f(1.6), f(1.3)f(-1.3). What is f(7)f(7)? A. f(7)=f(7)= B. f(7)f(7) is undefined.

Studdy Solution

STEP 1

Assumptions1. The function is f(x)=f(x) =. . We are asked to find the values of f(7)f(7), f(7)f(-7), f(1.6)f(1.6), and f(1.3)f(-1.3).

STEP 2

The function f(x)=2f(x) =2 is a constant function. This means that for any value of xx, the value of f(x)f(x) is always2.

STEP 3

To find the value of f(7)f(7), we substitute x=7x =7 into the function.
f(7)=2f(7) =2

STEP 4

So, the value of f(7)f(7) is2. Therefore, the correct choice is A. f(7)=2f(7) =2.

STEP 5

Similarly, to find the value of f(7)f(-7), we substitute x=7x = -7 into the function.
f(7)=2f(-7) =2

STEP 6

So, the value of f()f(-) is also2.

STEP 7

To find the value of f(1.6)f(1.6), we substitute x=1.6x =1.6 into the function.
f(1.6)=2f(1.6) =2

STEP 8

So, the value of f(1.6)f(1.6) is2.

STEP 9

Finally, to find the value of f(.3)f(-.3), we substitute x=.3x = -.3 into the function.
f(.3)=2f(-.3) =2

STEP 10

So, the value of f(.3)f(-.3) is2.
In conclusion, for the function f(x)=2f(x) =2, the value of f(x)f(x) is always2, regardless of the value of xx.
(a) f(7)=2f(7) =2 (b) f(7)=2f(-7) =2 (c) f(.6)=2f(.6) =2 (d) f(.3)=2f(-.3) =2

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