Final Answer:
1. Domain: all real numbers
Range: $ y \geq -4 $
X-Intercepts: $ x = -2 $, $ x = 2 $
Y-Intercept: $ y = -4 $
Increasing Int.: $ x > 0 $
Decreasing Int.: $ x < 0 $
End Behavior: As $ x \to -\infty $, $ f(x) \to \infty $; As $ x \to \infty $, $ f(x) \to \infty $
Vertex: $ (0, -4) $
2. Domain: all real numbers
Range: $ y \leq 4 $
X-Intercepts: $ x = -2 $, $ x = 2 $
Y-Intercept: $ y = 4 $
Increasing Int.: $ x < 0 $
Decreasing Int.: $ x > 0 $
End Behavior: As $ x \to -\infty $, $ f(x) \to -\infty $; As $ x \to \infty $, $ f(x) \to -\infty $
Vertex: $ (0, 4) $
3. Domain: all real numbers
Range: $ y \leq 3 $
X-Intercepts: $ x = -1 $, $ x = 3 $
Y-Intercept: $ y = 3 $
Increasing Int.: $ x < 1 $
Decreasing Int.: $ x > 1 $
End Behavior: As $ x \to -\infty $, $ f(x) \to -\infty $; As $ x \to \infty $, $ f(x) \to -\infty $
Vertex: $ (1, 3) $
4. Domain: all real numbers
Range: $ y \geq -2 $
X-Intercepts: $ x = -1 $, $ x = 3 $
Y-Intercept: $ y = -2 $
Increasing Int.: $ x > 1 $
Decreasing Int.: $ x < 1 $
End Behavior: As $ x \to -\infty $, $ f(x) \to \infty $; As $ x \to \infty $, $ f(x) \to \infty $
Vertex: $ (1, -2) $
Parent Tip: Review the logic above to help your child master the concept of characteristics of quadratic functions worksheet answers.
