Question
What type of function is f(x)=bx
? (1 point)
Responses
even
even
odd
odd
neither
? (1 point)
Responses
even
even
odd
odd
neither
Answers
GPT-4o mini
The function \( f(x) = bx \) is classified as an **odd** function.
To determine if a function is odd, you check if the following condition holds:
\[
f(-x) = -f(x)
\]
For \( f(x) = bx \):
\[
f(-x) = b(-x) = -bx = -f(x)
\]
Since the condition for an odd function is satisfied, \( f(x) = bx \) is indeed an odd function.
So the answer is **odd**.
To determine if a function is odd, you check if the following condition holds:
\[
f(-x) = -f(x)
\]
For \( f(x) = bx \):
\[
f(-x) = b(-x) = -bx = -f(x)
\]
Since the condition for an odd function is satisfied, \( f(x) = bx \) is indeed an odd function.
So the answer is **odd**.