Page 4 - Pra U STPM 2022 Penggal 1 - Mathematics (T)

Mathematics Term 1 STPM Chapter 1 Functions

CHAPTER
1 FUNCTIONS 1

Subtopic Learning Outcome

1.1 Functions (a) State the domain and range of a function, and find composite functions.
(b) Determine whether a function is one-to-one, and find the inverse of a one-to-one
function.
(c) Sketch the graphs of simple functions, including piecewise-defined functions.
1.2 Polynomial and (a) Use the factor theorem and the remainder theorem.
rational functions (b) Solve polynomial and rational equations and inequalities.
(c) Solve equations and inequalities involving modulus signs in simple cases.
(d) Decompose a rational expression into partial fractions in cases where the
denominator has two distinct linear factors, or a linear factor and a prime
quadratic factor.
1.3 Exponential (a) Relate exponential and logirithmic functions, algebraically and graphically.
and logarithmic (b) Use the properties of exponents and logarithms.
functions (c) Solve equations and inequalities involving exponential or logarithmic
expressions.

1.4 Trigonometric (a) Relate the periodicity and symmetries of the sine, cosine and tangent functions
functions to their graphs, and identify the inverse sine, inverse cosine and inverse tangent
functions and their graphs.
(b) Use basic trigonometric identities and the formulae for sin (A ± B), cos (A ± B)
and tan (A ± B), including sin 2A, cos 2A and tan 2A.
(c) Express a sin θ + b cos θ in the forms of r sin (θ ± ∝) and r cos (θ ± ∝).
(d) Find the solutions, within specified intervals, of trigonometric equations and
inequalities.

Bilingual Keywords

composite – gubahan logarithmic function – fungsi logaritma
domain – domain partial fraction – pecahan separa
equation – persamaan polynomial function – fungsi polinomial
exponential function – fungsi eksponen range – julat
factor theorem – teorem faktor rational function – fungsi nisbah
function – fungsi remainder theorem – teorem baki
inequality – ketaksamaan trigonometric function – fungsi trigonometri
inverse – songsangan

01a STPM Math T T1.indd 1 3/28/18 4:20 PM