ch 3 test review 1. Simplify the following expressions leaving only positive exponents in your answer. a. b. c. d. 2. Rewrite each radical below as an equivalent expression using fractional exponents. a. b. c. d. 3. graph the function . 4. For , evaluate each of the following. a. b. c. d. e. Find the value of for which . x 5. If (x) = 4x 5, find the following: f x2 – – a. (–2) b. (10) c. (0) f f f d. What values of will make (x) = 0? x f 6. If = 3x2 + 5x 2, calculate each of the following: f(x) – a. b. c. f(4) f(–3) f() d. What of will make = x f(x) –2? 7. For the following graph, write down the domain and the range. Briefly explain to a new student in the class how (s)he can find the domain and range for a graph such as this. , R (–3, 4] 8. Find the domain and range for each graph below: a. b. 9. If = 3(x 30) and = 2(x 30), when does = Justify your answer. f(x) g(x) f(x) g(x)? – –
ch 3 test review 1. Simplify the following expressions leaving only positive exponents in your answer. a. b. c. d. 2. Rewrite each radical below as an equivalent expression using fractional exponents. a. b. c. d. 3. graph the function . 4. For , evaluate each of the following. a. b. c. d. e. Find the value of x for which . 5. If f (x) = x2 – 4x – 5, find the following: a. f (–2) b. f (10) c. f (0) d. What values of x will make f (x) = 0? 6. If f(x) = 3x2 + 5x – 2, calculate each of the following: a. f(4) b. f(–3) c. f() d. What of x will make f(x) = –2? 7. For the following graph, write down the domain and the range. Briefly explain to a new student in the class how (s)he can find the domain and range for a graph such as this. , R (–3, 4] 8. Find the domain and range for each graph below: a. b. 9. If f(x) = 3(x – 30) and g(x) = 2(x – 30), when does f(x) = g(x)? Justify your answer.