Question

Consider the graph of the function f(x)= 10^x what is the range of function g if g(x)= -f(x) -5 ?

Answer 1

So, from the graph, we are looking for the range of

`\begin{gathered} g(x)=-f(x)-5 \\ where\text{ } \\ f(x)=10^x \\ \end{gathered}`

The graph of g(x) is shown below

`g(x)=-10^x-5`

The range is determined from the y-axis or the y-values. We can see that the y-values is from negative infinity and ends in -5. So the range is between

negative infinity to -5.

So we have

`\begin{gathered} f(x)<-5\text{ or } \\ (-\infty,-5) \end{gathered}`

So, comparing this to the options given, we can see that

The answer is option B