Question

In Exercise sketch the graph of the function.
f(x) = 5 - x + 2

Answer 1

Answer with Step-by-step explanation:

We are given that a function

`f(x)=5^(-x)+2`

Let
`y=f(x)=5^(-x)+2`

We have to sketch the graph.

Substitute x=0

Then we get

`y=5^0+2=1+2=3`

When x tends to infinity

`\lim_(x\rightarrow \infty)y=\lim_(x\rightarrow \infty)(5^(-x)+2)=2`

y-intercept of f(x) at y=3

Now, draw a line which cut the y-axis at y=3 and approach 2 when x approaches to infinity.