Step-by-step explanation:
For the parabola( top question)
- X intercepts are (2,0) (4,0)
- Y intercepts are (0,4)
- Intervals of Increasing are [3, ♾)
- Intervals of decreasing are (- ♾, 3]
- The domain is All Real Numbers or (-♾, ♾)
- The range is [1, ♾)
- There is no maximum value of this function
- The minimum value is -1
- The axis of symmetry is x=3
- f(6)=4
For the absolute value equation, bottom question
- X intercepts is (2,0)
- Y intercepts are (0,3)
- The Intervals of Increasing are [2,infinity)
- The Intervals of decreasing are ( negative infinity,2]
- The domain is All Real Numbers or (negative ♾, positive ♾)
- Range is [0, positive ♾)
- There is no maximum value of the function
- The minimum value is 0
- f(-1)=4.5