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Name: _______________________________ Date: _______________ Period: _______________ Mid-Chapter Function Review Directions: Please answer each of the following questions below. Show all necessary work! 1.) How many solutions are shown by the graph of the quadratic function below? 3.) Is the vertex of the parabola shown in the graph a maximum or minimum? What are the coordinates of the vertex? A.) Zero B.) One C.) Two D.) Three 2.) How many solutions are shown by the graph of the quadratic function below? 4.) Is the vertex of the parabola shown in the graph a maximum or minimum? What are the coordinates of the vertex? A.) Zero B.) One C.) Two D.) Three 5.) Which of the following represents the graph of 𝑓(𝑡) = −2𝑡 2 + 4𝑡 − 3? Include the appropriate table. A.) B.) C.) D.) E.) 1 6.) Which of the following represents the graph of 𝑦 = 𝑥 2 − 2𝑥 + 4? Include the appropriate table. A.) B.) C.) D.) 7.) Which of the following graphs is a function? Explain why. A.) B.) C.) D.) E.) none of these 8.) This equation represents what type of function? Explain your answer. 𝑓(𝑥) = 3𝑥 2 − 5 A.) linear B.) quadratic C.) exponential D.) absolute value E.) cubic 9.) The table below represents the function F. HINT: Type in all of those functions and check which table matches! The equation that represents this function is: A.) 𝑓(𝑥) = 3x B.) 𝑓(𝑥) = 3x C.) 𝑓(𝑥) = 2x + 1 D.) 𝑓(𝑥) = 2x + 3 10.) What is the range of the function f(x) = 3x + 2 when the domain is {-2, -1, 2}? (HINT: Plug the domain numbers in for x to find f(x). You will end up having 3 numbers for your answer) 2 11.) A function is graphed on the set of axes below. Which function is related to the graph? 12.) Consider the function given by the rule g(x) = 2x + 3. (a) Provide a table of inputs and outputs for the given function. 13.) Consider the quadratic function f(x) = -x2 – 2x + 8. Create a function table below and THEN graph the function on the axes provided. 3 14.) Graph f(x) = -|3x + 5| + 3 from -5 < x < 1 1 2 𝑥+2 𝑥 <2 15.) Graph 𝑓(𝑥) = {3 −4 𝑥>2 𝑥=2 16.) Graph 𝑔(𝑥) = √𝑥 + 3 − 4 for -3 < x < 6 **HINT: only graph points that are integers 4