Question

1. Given ?(?) = √? − ? and ?(?) = ? + ?. Find the following:...

1. Given ?(?) = √? − ? and ?(?) = ? + ?. Find the following:

a) The domain of ?(?). Write the answer in interval notation.

b) (? ∘ ?)(?)

c) The domain of (? ∘ ?)(?)

2. Let ?(?) = ??? − ??. Find the difference quotient

3. For the given function: ?(?) = ? ? + ?? − ??

(a) Rewrite the function in the vertex form by COMPLETING THE SQUARE. (standard form of quadratic function, you may use the short cut)

(b) State the vertex and axis of symmetry.

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