Question

graph the function
f(x)={x^2=1, if x < 2
2x+1, if x\ge 2

Answer 1

Since the function piecewise, we need to graph two different parts of the function separately.

For f(x) = x^2 - 1 when x < 2:
The graph of this function will be a parabola opening upwards with a vertex at (0, -1) and passing through the point (1, 0).

For f(x) = 2x + 1 when x >= 2:
The graph of this function will be a straight line passing through the points (2, 5) and (3, 7).

Combining both graphs together, the function's graph will be the parabola up to x = 2, and then continuing as a straight line from x = 2 onwards.

Note: Due to limitations in the text format, I am unable to provide the actual graph here.