User interface language: English | Español

Date May 2018 Marks available 2 Reference code 18M.1.SL.TZ2.T_11
Level Standard Level Paper Paper 1 Time zone Time zone 2
Command term Write down Question number T_11 Adapted from N/A

Question

Consider the graph of the function f ( x ) = 3 x 2 , x 0 .

Write down the equation of the vertical asymptote.

[2]
a.

Write down the equation of the horizontal asymptote.

[2]
b.

Calculate the value of x for which f(x) = 0 .

[2]
c.

Markscheme

* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.

x = 0     (A1)(A1) (C2)

Note: Award (A1) for = “a constant” (A1) for = 0. Award (A0)(A0) for an answer of “0”.

[2 marks]

a.

f(x) = −2   (y = −2)     (A1)(A1) (C2)

Note: Award (A1) for y = “a constant” (A1) for = −2. Award (A0)(A0) for an answer of “−2”.

[2 marks]

b.

3 x 2 = 0      (M1)

Note: Award (M1) for equating f(x) to 0.

( x = ) 3 2 ( 1.5 )      (A1) (C2)

[2 marks]

c.

Examiners report

[N/A]
a.
[N/A]
b.
[N/A]
c.

Syllabus sections

Topic 2—Functions » SL 2.5—Modelling functions
Show 306 related questions
Topic 2—Functions

View options