The Makassed Charitable Islamic Association of Saida
Houssam Eddine Hariri High School
High School Division
Math Worksheet
Functions
Name:
Class:
11-SE
Date:
I) The curve below is the representative curve of the function f in an orthonormal system (𝑂, 𝑖⃗, 𝑗⃗).
a) Determine the domain of definition and the range of the function f.
b) Determine f(-2), f(0), f(2).
c) Where does f appear to be increasing? Decreasing?
d) Determine the local extrema of f over its domain.
e) What is the number of solutions for the equation f(x) = 0? What do these solutions
represent?
f) Solve graphically: f(x) > 0; f (x) ≤ 0
II) The curve below is the representative curve of the function f.
a)
Determine the domain of definition and the range of the function f.
b)
What is the image of 1? of -1? of 0?
c)
What are the antecedents of 2? of 0?
d)
Determine the interval for which f is decreasing? Increasing?
e)
Set up the table of variations of f.
f)
Solve graphically: f(x) = 0; f(x) > 0; f (x) <0 ; f (x) = 2 .