See attachment

See attachment

Hom ework #4 Lesson 4.1 Show all work. No credit will be given if work is not shown! 1. Determine the domain and range for the relation. = {(,)| is the brother of } Domain A) Males B) Females C) Brothers D) Sisters Range A) Parents of boys B) Parents of girls C) All people D) People with brothers E) People with sisters 2. Consider the following relation. 32 + 2 = −2 + 4 Step 1. Rewrite the relation as a function of . Answer: ()=________ ____ _______ _______ Step 2. Evaluate the function found in the previous step at = −2. Answer: (−2)=____ _____ ______ _________ Step 3. Determine the implied domain of the function found in the firs t step. Express your answer in interval notation. Answer: ____ ______ ___________ 3. Determine (2) for the following function. () = √ + 5 + 4 Answer: (2)=______ _________ _________ 4. Determine ℎ (2) for the following function. ℎ() = − 2 − − 12 Answer: ℎ(2)=_________ _________ ______ 5. Given the following function, determine the difference quotient, ( + ℎ ) − ( ) ℎ . () = −3 − 8 Answer: __________ _______ _____ 6. Consider the following relation. = {(−3,−4),(−2,−5),(−2,1),(−2,0)} Step 1. Determine the domain and range for the relation. Answer: Domain: {________ _____________ _______ } Range: {________ _______________ _______ } Step 2. Determine if the relation is a function. If it is not, identify two ordered pairs as proof. Function: A) yes B) no ________ ____ ____ _____ ____ 7. Determine (2) for the following function. () = √ + 9 Answer: (2)=______ _____ _________