Search & Filtering
Consider the following examples in real-world situations that describe a correspondence between phenomena:
• The total cost for repairing a cell phone is R320 for parts plus R50 per hour for labour.
• Siphokazi sells 70% alcohol-based hand sanitisers. She earns R230 a week and receives a commission of 15% of her sales.
• The amount by which your savings will grow in a year depends on the interest offered by the bank.
• The area of a circle depends on the radius of the circle.
• A rental van costs R230 per day plus R4,30 per kilometre.
(a) Express each situation in functional words. For example, the income tax is a function of the total income. (8)
(b) For each situation, indicate the dependent and independent variables. (5)
(c) Write the two variables as an ordered pair, and write the function using the notation 𝑦=(𝑥). (5)
(d) Explain the meaning of a function in your own words. Illustrate with your own specific example. (2)
Given the function :f (x)=-x^2+9 and g (x)=6-2x.Draw f and g on the same system of axes
- Create a one-to-one function. It is very important that your function is one-to-one because you will find its inverse. Can't use the function y = x as your one-to-one function.
- Post a picture of your function's graph.
- State the window used to graph your function. Carefully choose your window so that it shows as much of the function as possible. Show window on your graphing calculator.
- Find the inverse of your function.
The expression that is equivalent to( 5x3 )2 /25x3
Use the fact [x y 1]
[a1 b1 1] =0
[a2 b2 1]
To determine the equation of the line passing through the distinct points(a1, b1) and (a2, b2) where (.) stands for det.
3.1. Complete the tables below: Situation Reasoning Number sentence Jim and Jabu each join a gym. Jim’s gym takes R150 deposit, and he pays R120 monthly. Jabu’s gym takes no deposit, but his monthly payment is R150. They compare their total payments after four months, after five months and after six months.
3.1.1 Reasoning
3.1.2 Number sentence
How can learners learn to write two-digit numbers in a way that it is connected to the base 10 meaning of ones and tens?
On the Internet find two applications for trigonometric functions. Cannot be Ferris Wheel ride or tides or hours of daylight.
2.Cite your sources and explain why this model is a good fit by referring to key features of this function that relate well to the application.
3.Clearly define variables in relationship.
4.Your justification should also include reference to at least two of graphical, numeric, and/or algebraic models.
Suppose v1;v2;vm is linearly independent in V and w 2 V. Prove that dim span (v1 +w;v2 +w;:::;vm +w) m1.
Alex bought 10 potatoes and 6 onions for $15. Carlos bought 5 potatoes and 2 onions for $6. What is the cost of the onions?
