Question

1. consider the function $y = \frac{5}{x}$. hence state the range of the function. a all real values of $y$. b $y = 0$ only. c all real values of $y$ such that $y > 0$. d all real values of $y$, except $y = 0$.

Explanation:

Step1: Analyze the function $y=\frac{5}{x}$

The function is a reciprocal function. For any non-zero real $x$, $y$ will be a real number.

Step2: Check if $y=0$ is possible

Set $\frac{5}{x}=0$. Multiplying both sides by $x$ gives $5=0$, which is a contradiction. Thus, $y$ can never equal 0.

Step3: State the range

All real numbers except 0 are valid outputs for $y$.

Answer:

D. All real values of y, except y=0.