Final answer:
Tina incorrectly graphed the function f(x) = -2|x| by not properly considering the absolute value function. The correct graph should be a 'V' shape with the vertex at the origin.
Step-by-step explanation:
Tina incorrectly graphed the function f(x) = -2|x| by not properly considering the absolute value function. When graphing the absolute value function, the negative sign in front of the absolute value indicates a reflection across the x-axis. So, the graph should have been a 'V' shape with the vertex at the origin.
To correctly graph the function, we need to consider the behavior of the absolute value. For positive values of x, the function value will be equal to x. For negative values of x, the function value will be equal to -x. Plotting these points and connecting them will give us the correct graph.