can you please help me with this question it's grade 11 mathematics Culminating Task.
Ask a Question Culminating Performance Task X C O File | /Users/housamraeealblha/Desktop/Culminating%20Performance%20Task%20Menu.pdf -frw * E Culminating Performance Task Menu.pdf 1 / 1 | - 58% + Culminating Performance Task Menu You must complete one from each row and each column. (hence you will complete 3 in total) Exponential Function Polynomial Function Trigonometric Function Graphical & Numeric Given: The graph below Given: Graph below Models Given: Function #1 Function #2 Numeric mode Graphical Model f(x) Knowledge/Understanding -2 -10 -1 - 10 1. State: domain and range x and y intercepts if applicable max and min if applicable -24 1. State : o relative max and min if applicable, domain and range end behaviour if applicable ether it models growth or decay 1. x and y intercepts For each model above, state: max and min values and where they occur initial amount . domain and range x and y intercepts if applicable period asymptote amplitude 3' Determine f(3) max and min if applicable axis of symmetry 4. G Determine the value of x if f(x) = 1 relative max and min if applicable end behaviour if applicable values of a, k, d, and c for the sine function Graph the log function related to this ribe how this graph is related to the base function y=sin x by function. type of polynomial function with proof referring to horizontal and vertical shifts, amplitude, compressions or degree of ea expansions, reflection. 2. Determine f(-2) for each model. Determine the value of x if f(x) = -8 for graphical model; solve f(x) = 8 for numeric model. Algebraic Model Task: Task: Task : Create an algebraic model with these Given these key features f(0) = 5 Create an accurate algebraic model using both sine and cosine given rameters. hese parameters: Application one for decay - clearly define/explain decay factor . ze leading coefficient is -2 cost. vertical shift up 5 units from base function f(x) = sinx and g(x) = zeroes at -3, -1, 4 one for growth of 359 y intercept of 10 Domain: -45 S x S 675 2. For both functions, determine f(0), f(-5), and create two possible algebraic models, using two different degrees of polynomial functions. Express both in standard and factored form. 4 cycles within domain solve f(x) = 32 using logarithms. horizontal shift 45 left 3. Show one example proving: f(a).f(b) = f(a + b) vertical stretch by a factor of 3 State the range of the function. using rational exponents. [i.e. (ba)(bd)=batd] Determine f(0), f(180 ) and solve f(x) = b, for all x within domain, where b Real-World Application is the maximum. Describe two different situations that could be Collect some real-world data from two of the sources listed below. On the Internet find two applications for trigonometric functions. modelled by an exponential function. Show which type of polynomial function best fits the data and give reasons. (must be Cannot be Ferris Wheel ride or tides or hours of daylight. Clearly define all variables in the relationship two different types of polynomial functions) Clearly define variable 2. Cite your sources and explain why this model is a good fit by referring Thinking/Communication Interpret the growth or decay factor and the initial amount, which cannot be 1. Be specific with your reasoning by relating to key features of the polynomial function. to key features of this function that relate well to the application. Your justification should also include reference to at least two of graphical, numeric, Explain why this type of function makes se and/or algebraic models. Clearly define variables in relationship. Your justification should also include reference to at least two of model for these real applications, by ortation Energy Data Book - vehicle energy efficiency. graphical, numeric, and/or algebraic models. referring to key features of this function. . Your justification should also include refer ster - a compilation of data from sources as: CIA World Fact book, United Nations. to at least two of graphical, numeric, and/or rid Health Organization, World Bank, World Resources Institute, UNESCO, UNICEF, OECD algebraic models. The Numbers - Box office data, movie stars. Quantitative Environmental Learning Project -Supported by the Nation ience Foundation. World Climate and Temperature indexmundi - detailed country statistics, charts, and maps compiled from multiple sources. Healthy Youth Nutrition Facts Health in Canada - resource for Canadian health statistics. HL stats Census at School - data on multiple topics of school-aged children Economagic - Economic Time Series Data
