CAIE IGCSE Additional Math 6.1 Use Logarithmic and Exponential Graphs Questions

Practise Cambridge IGCSE Additional Mathematics by sketching logarithmic and exponential graphs, finding domains and reading key features.

Exam points

Determine the domain of logarithmic expressions from positivity of their arguments.
Sketch logarithmic and exponential graphs, including intercepts and asymptotes.
Use graph features or inverse relationships to estimate or identify required values.

[Maximum number: 4]

the axes, sketch the graph of $y=5 \ln (4 x+3)$ .
State the intercepts with the axes.
State the equation of any asymptote.

Figure for Question CAIE IGCSE Additional Math 6.1 Use Logarithmic and Exponential Graphs Questions question 1 — CAIE IGCSE Additional Math

Figure for Answer to Question CAIE IGCSE Additional Math 6.1 Use Logarithmic and Exponential Graphs Questions question 1 — CAIE IGCSE Additional Math

B1 for correct shape in first three quadrants tending towards a
vertical asymptote in the second and third quadrants.
Dep B1 for curve passing through x=-0.5 oe on the x-axis, or stated
and no other points on the x-axis
Dep B1 for curve passing through y $=5 \ln 3$ oe on the y-axis, or stated
and no other points on the y-axis
B1 for $x=-\frac{3}{4}$ oe shown on graph
or stated as the equation of the asymptote. May be implied by a
dotted or straight vertical line
through $x=-\frac{3}{4}$ . This is not a
dependent mark.

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CAIE IGCSE Additional Math 6.1 Use Logarithmic and Exponential Graphs Questions question 1