Calculate the smallest and largest value of the function in the given range: a) y=2x2-3x-1 for x e
b) y= -x2+4x+5 for x e

b

Step-by-step explanation:

Part A: Triangle ABD is similar to Triangle ACD

Part B: Using HL Theorem, we can determine these 2 right triangles to be similar

Part C: DA = 3

Step-by-step explanation:

We can use HL (Hypotenuse-Leg) Theorem to help determine similarity. Since DA perpendicular bisects BC, we know that it forms the altitude and forms right triangles, which gives us legs and a hypotenuse,

To find DA, we are given right triangle ACD. We know that one leg, CD, is equal to 4. We also know that 3-4-5 is a Pythagorean Triple, so DA would be 3 and AC would be 5.