Answer:
[A] -0.5
General Formulas and Concepts:
Algebra I
- Reading a coordinate plane
- Coordinates (x, y)
- Functions
- Function Notation
Algebra II
Calculus
Limits
Graphical Limits
Discontinuities
- Removable (Hole)
- Jump
- Infinite (Asymptote)
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle f(x) = \left \{ {{-1 - x, \ x \neq 2} \atop {8, \ x = 2}} \right.[/tex]
[tex]\displaystyle \lim_{x \to -0.5} f(x)[/tex]
Step 2: Solve
According to the graph, we see that when we approach x = -0.5 of the function f(x), we land on y = -0.5.
The function value at x = 2 would equal 8, but the limit as x approaches -0.5 would not approach the function value, but approach the hole in the function.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Book: College Calculus 10e
