Question

Which statements hold true for the function?

f(x) = 5/x

Of(5)<1
Of(0)=1
Of(3) Of(5)

Answer 1

1. The function is defined for all values of x except for x=0.

2. As x approaches positive infinity, f(x) approaches 0.

3. As x approaches negative infinity, f(x) approaches 0.

4. The function is not defined for x=0 because division by zero is undefined.

5. The function is symmetric about the y-axis.

6. The function has a vertical asymptote at x=0.

7. The function is decreasing for all positive values of x.

8. The function is decreasing for all negative values of x.

9. The function is continuous for all values of x except for x=0.

Answer 2

Answer:To evaluate the given function, f(x) = 5/x, we substitute the values in place of x:

f(5) = 5/5 = 1

The statement "Of(5) < 1" is false since f(5) = 1.

f(0) is undefined since division by zero is not defined.

Therefore, the statement "Of(0) = 1" is false.

f(3) = 5/3

f(5) = 5/5 = 1

Since the specific values for f(3) and f(5) are not provided, we cannot determine their exact numerical values or compare them.

Explanation: