The equation of the piecewise function f(x) is below. What is the value of f(3)?

Option B: 5 is the value of f(3)

Explanation:

The equation of the piecewise function is given by

We need to find the value of

The value of the function f can be determined when by identifying in which interval does the value of lie in the piecewise function.

Thus, lies in the interval , the function f is given by

Substituting in the function , we get,

Thus, the value of is 5.

Therefore, Option B is the correct answer.

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2