Functions - examples - page 2

1. Linear function What is the equation of linear function passing through points: a) A (0,3), B (3,0) b) A (-2,-6), B (3,4)
2. Sequence - 5 members Write first five members of the sequence ?
3. Trucks Three lorries droved bricks. One drove n bricks at once, second m less bricks than the first and third 300 bricks more the first lorry. The first lorry went 4 times a day the largest went 3 times a day and the smallest 5 times a day. How many bricks br Which of the points belong function f:y= 2x2- 3x + 1 : A(-2, 15) B (3,10) C (1,4)
5. Minimum of sum Find a positive number that the sum of the number and its inverted value was minimal.
6. Diagonals at right angle In the trapezoid ABCD this is given: AB=12cm CD=4cm And diagonals crossed under a right angle. What is the area of this trapezoid ABCD?
7. Parcel 4 To send a parcel by messenger within city limits costs 60 cents for the first pound and 48 cents for each additional pound. What is the cost, in cents, of sending a parcel weighing p=4 pounds?
8. The inverse The inverse matrix for matrix A has a determinant value of 0.333. What value has a determinant of the matrix A?
9. Functions f,g Find g(1) if g(x) = 3x - x2 Find f(5) if f(x) = x + 1/2
10. Expressions 3 If k(x+6)= 4x2 + 20, what is k(10)=?
11. Equation - inverse Solve for x: 7: x = 14: 1000
12. Symmetry by plane Determine the coordinates of a image of point A (3, -4, -6) at a symmetry that is determined by the plane x-y-4z-13 = 0
13. Intersections Find the intersections of the function plot with coordinate axes: f (x): y = x + 3/5
14. Taxi A taxi ride costs \$3 plus \$2.50 per mile. Write and Graph an equation in two variables that represents the total cost of a taxi ride.
15. Imagine Imagine that a unit of air at a temperature of 25°C rises up a mountain range that is 3,000 meters high on the windward side and which descends to 1,200 meters on the leeward side, assuming that the air will remain dry what will its temperature when it cro
16. Domains of functions F(x)=x2-7x and g(x)=5-x2 Domain of (fg)(x) is. .. . . Domain of (f/g)(x). ..
17. Air thermal Imagine that a unit of air rises at 3000 meters high, if temperature decreases 6 degrees celcius for every 1000 meter, what will be its temperature at 1400 meters, 2000 meters, 2500 meters and when it reaches the 3000 meter elevation. Starting temperature.
18. The publisher The publisher prepares the release of the dictionary. Print preparation costs no matter the number of printed copies of 150000 CZK. The printer charges 80 CZK for one print. A) What are the costs of one dictionary if 5000 copies printed? B) For what numb
19. Degrees Fahrenheit ? The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true? I. A temperature increase of 1 degree Fahrenheit is equiv
20. Exchange rates If the Canadian dollar appreciated by C\$0.005 relative to the US dollar, what would be the new value of the Canadian dollar per US dollar? Assume the current exchange rate was US\$1 = C\$0.907.

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