can you please help me with this question it's grade 11 mathematics. Can you please just do the Trigonometric function part because I have to post the other in different questions.

Exponential Function Polynomial Function Trigonometric Function Graphical & Numeric Given: The graph below Given: Given: Graph below Models Function #1 Function #2 Numeric model Graphical Model -64 Knowledge/Understanding -21 -10 -10 1. State: o domain and range x and y intercepts if applicable max and min if applicable State: relative max and min if applicable, domain and range end behaviour if applicable x and y intercepts whether it models growth or decay For each model above, state: max and min values and where they occur initial amount domain and range period asymptote x and y intercepts if applicable amplitude Determine f(3) max and min if applicable axis of symmetry Determine the value of x if f(x) = 1 relative max and min if applicable . values of a, k, d, and c for the sine function end behaviour if applicable 2. Describe how this graph is related to the base function y=sin x by type of polynomial function with proof referring to horizontal and vertical shifts, amplitude, compressions or . degree of each expansions, reflection. 2. Determine f(-2) for each model. 3. Determine the value of x if f(x) = -8 for graphical model; solve f(x) = 8 for numeric model. Algebraic Model Task: Task: Task : 1. Create an algebraic model with these Given these key features: Create an accurate algebraic model using both sine and cosine given parameters: f(0) = 5 these parameters: Application one for decay - clearly define/explain leading coefficient is -2 vertical shift up 5 units from base function f(x) = sinx and g(x) = decay factor. zeroes at -3, -1, 4 cos X. one for growth of 35% Domain: -45 S x'S 675 y intercept of 10 Create two possible algebraic models, using two different degrees of polynomial functions. 4 cycles within domain For both functions, determine f(0), f(-5), and Express both in standard and factored form. horizontal shift 45 left solve f(x) = 32 using logarithms. vertical stretch by a factor of 3 Show one example proving: f(a).f(b) = f(a + b) State the range of the function. using rational exponents. [i.e. (b")(b)=b+] Determine f(0), f(180 ) and solve f(x) = b, for all x within domain, where b is the maximum. Real-World Application 1. Describe two different situations that could be Collect some real-world data from two of the sources listed below. 1. 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 variables in the relationship. Cite your sources and explain why this model is a good fit by referring Thinking/Communication Interpret the growth or decay factor and the 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. initial amount, which cannot be 1. Your justification should also include reference to at least two of graphical, numeric, Clearly define variables in relationship. Explain why this type of function makes sense and/or algebraic models. Your justification should also include reference to at least two of as a model for these real applications, by Transportation Energy Data Book - vehicle energy efficiency. graphical, numeric, and/or algebraic models. referring to key features of this function. NationMaster - a compilation of data from sources as: CIA World Fact book, United Nations. Your justification should also include reference World Health Organization, World Bank, World Resources Institute, UNESCO, UNICEF, OECD to at least two of graphical, numeric, and/or. The Numbers - Box office data, movie stars. algebraic models. Quantitative Environmental Learning Project -Supported by the National Science 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. NHL stats Census at School - data on multiple topics of school-aged children Economagic - Economic Time Series Data