Question

Which of the following functions is graphed below?

Answer 1

So, y is a system two distinct exponential functions.

The function on the bottom is a cubic function with a y-intercept of -3, and the full dot means that point is included in the domain.

y = x^3 - 3, x ≤ 2

The other function is a quadratic function with a currently unknown y-intercept. The hollow dot on point 2 means that the point is not included in the domain of the function.

y = x^2 + b, x > 2

So, given that there is only one option that matches this, even with the unknown b value, we know:

`y = \left \{ {{x^3 - 3, x\leq 2} \atop {x^2 + 6, x > 2}} \right.`

So the answer is C.