Question

The graph of a function f is shown below. Find one value of x for which f(x) = 4 and find f(4) .

Answer 1

a. from the given graph, at y=4, x=0 which is the intercept on the y axis;

`\begin{gathered} f(0)=4 \\ at\text{ }f(x)=4,\text{ }x=0 \end{gathered}`

b. at x=4, the value of y=2

`\begin{gathered} f(4)=2 \\ at,\text{ }x=4,\text{ }y=2 \end{gathered}`

Step-by-step explanation:

Given the graph in the attached image;

y is a function of x;

`y=f(x)`

We want to determine the value of x for which y=4 and also the value of y at x=4.

So, from the given graph, at y=4, x=0 which is the intercept on the y axis;

`\begin{gathered} f(0)=4 \\ at\text{ }f(x)=4,\text{ }x=0 \end{gathered}`

Also from the graph;

at x=4, the value of y=2

so;

`\begin{gathered} f(4)=2 \\ at,\text{ }x=4,\text{ }y=2 \end{gathered}`