What is the value of the range of the function f(x)=x^2+2 for the domain value 1/4?
a. y=2
b. y=2 1/4
c. y=2 1/8
d. y=2 1/16
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Well, if we substitute x = 1/4 into the function f(x), we get:
f(1/4) = (1/4)^2 + 2 = 1/16 + 2 = 2 1/16
So, the answer is d. y=2 1/16. Isn't math fun? It's like a never-ending circus of numbers! 🎪🤡
To find the value of the function f(x) = x^2 + 2 for a specific domain value, we substitute that value into the function and evaluate it.
In this case, we are given the domain value x = 1/4. Plugging this value into the function, we get:
f(1/4) = (1/4)^2 + 2
Now, we simplify the expression:
f(1/4) = 1/16 + 2
= 1/16 + 32/16
= 33/16
Therefore, the value of the function for x = 1/4 is 33/16.
Among the answer choices provided, none of them represents the value 33/16. So, none of the given options is the correct value of the range of the function f(x) = x^2 + 2 for the domain value 1/4.
(1/4)^2 + 2
?
I am sure you can do that !