We have to find:
• A value of x for which f(x) = 3.
,
• The value of f(0).
a) We can find this value by intersecting the function f(x) with the horizontal line y = 3.
The value of x we are looking for will be the x-coordinate of the intersection point.
We can see it in the graph as:
We have two points that intersect with y = 3. One of them corresponds to an x-coordinate of x = 2.
b) We now have to find f(0).
This is the value of f(x) when x = 0, so it is the y-intercept.
We can identify it in the graph as:
The value is f(0) = -3.
Answer:
a) 2
b) -3