Algebra and Graphs

Determine whether the following relation represents a function. Give the domain and range for the relation. {( -2,9). (8,3), (-7, -7), (3,3)} Does the given relation represent a function? What is the domain? What is the range? 2 Evaluate the function f(x) = x2+ 9x + 1 at the given values of the independent variable and simplify. a. f(2) b. f(x + 4) c. f(-x) 3 Use the graph to determine Q a. open intervals on which the function is increasing, if any. b. open intervals on which the function is decreasing, if any. c. open intervals on which the function is constant, if any. a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is increasing on the interval(s). (Type your answer in interval notation. Use a comma to separate answers as needed.) O B. The function is never increasing. b. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is decreasing on the interval(s) (Type your answer in interval notation. Use a comma to separate answers as needed.) O B. The function is never decreasing. c. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is constant on the interval(s). (Type your answer in interval notation. Use a comma to separate answers as needed.) O B. The function is never constant. Graph the given functions, f and g. in the same rectangular coordinate system. Describe how the graph of g is related to the graph of f. f( x ) = x2 g(x) =x2+3 Use the graphing tool to graph the functions. Click to enlarge graph How is the graph of g related to the graph of f? O A. The graph of g is the graph of f shifted 3 units horizontally left. O B. The graph of g is the graph of f shifted 3 units vertically down. O C. The graph of g is the graph of f shifted 3 units horizontally right. O D. The graph of g is the graph of f shifted 3 units vertically up. Determine whether the function is even, odd, or neither. Then determine whether the function's graph is symmetric with respect to the y-axis, the origin, or neither. f(x)=x5-2x Determine whether the function is even, odd, or neither. Determine whether the graph of the function is symmetric with respect to the y-axis, the origin, or neither