Embedded Files
Functions as a special type of relationship. Representing linear functions set in context graphically.
I should be able to:
Foundation Level
– recognise that a function assigns a unique output to a given input
– graph functions of the form ax+b where a,b ∈ Q, x ∈ R
Ordinary Level
– recognise that a function assigns a unique output to a given input
– form composite functions
– graph functions of the form
• ax+b where a,b ∈ Q, x ∈ R
• ax2+bx+c where a, b, c ∈ Z , x ∈ R
• ax3+bx2+cx+d where a,b,c,d ∈ Z, x ∈ R
• abx where a ∈ N, b, x ∈ R
– interpret equations of the form f(x) = g(x) as a comparison of the above functions
– use graphical methods to find approximate solutions to
• f(x) = 0
• f(x) = k
• f(x) = g(x)
where f(x) and g(x) are of the above form, or where graphs of f(x) and g(x) are provided
– investigate the concept of the limit of a function
Higher Level
– recognise surjective, injective and bijective functions
– find the inverse of a bijective function
– given a graph of a function sketch the graph of its inverse
– express quadratic functions in complete square form
– use the complete square form of a quadratic function to
• find the roots and turning points
• sketch the function
– graph functions of the form
• ax2+bx + c where a,b,c ∈ Q, x ∈ R
• abx where a, b ∈ R
• logarithmic
• exponential
• trigonometric
– interpret equations of the form f(x) = g(x) as a comparison of the above functions
– informally explore limits and continuity of functions
Page updated
Report abuse