Answers


    1. Graph of y = x^2 and y = abs(x) on same plot
    2. \( f(x) = g(x) \) for \( x \in \{ -1, 0, 1 \} \)
    3. \( f(x) \gt g(x) \) for \( x \in \left( -\infty, -1 \right) \cup \left( 1, \infty \right) \)
    1. Graph of y = x^2 and y = 3 on same plot
    2. \( P \) is \( (-\sqrt{3}, 3) \), \( Q \) is \( (\sqrt{3}, 3) \)
    3. \( 3\sqrt{3} \text{ units}^2 \)
    4. \( \angle{PQO} = 60^\circ \)
    1. Graph of f(x) = 2^x
    2. Range: \( \{ y \mid \frac{1}{2} \leq y \leq 4, y \in \mathbb{R} \} \)
    1. Graph of y = abs(x) and 3x + 7y - 20 = 0 on same plot
    2. \( P \) is \( (-5, 5) \), \( Q \) is \( (2, 2) \)
    3. \( 10 \text{ units}^2 \)
    1. \( P \) is \( (1, 1) \), \( Q \) is \( (-\frac{1}{2}, -2) \)
    2. \( (-2, -5) \)
    1. \( x \in \left[0, 9 \right) \)
    2. Graph of f(x)=sqrt(x) and g(x)=x-6