L3 MAB4

Example 1

Olli works in the store on weekends and some weekday evenings. Olli earns €12 per hour. His working hours were: January 40, February 30 and March 45.

a) Calculate how much Olli gets paid each month.

b) Create a function f(x) that expresses Olli's monthly salary when the number of hours in a month is denoted by the variable x.

c) Draw the graph of the function f(x).

Example 2

Consider the function f(x) = -18x + 3

a) Calculate the value of the function when x = -3

b) Determine f(12).

c) At what value of the variable x is the value of the function f(x)=-27?

d) Calculate the zero of the function.

Example 3

a) From the graph, determine the value of the function f(-1). 

b) See on the graph what is the value of the variable x when the function gets the value -2.

c) Determine the zero points of the function from the graph.

Example 4

a) Draw the graph of the function f(x) = -x³ - x²+ 3x in the CAS mode of GeoGebra. 

b) Solve the equation f(x) = 1. Round the answer to three decimal places. 

c) How do the solutions from part b) appear in the graph?

Example 5