CAIE IGCSE Additional Math 6.1 logarithmic and exponential graphs

Use this graph page to sketch exponential graphs, identify intercepts and state the x-values for which logarithmic expressions are defined.

Exam points

Sketch exponential graphs such as y=4e^x+3 and label intercepts clearly.
State the domain restrictions that make logarithmic expressions defined.
Use graph or rule information to find where a logarithmic or exponential function exists.

[Maximum number: 4]

Variables y and x are known to be connected by the relationship $y=A b^{x}$ where A and b are constants. The table shows values of y for certain values of x.

Table for Question 6.1. Use logarithmic and exponential graphs question 1 — CAIE IGCSE Additional Math

(a)

Draw the graph of $\lg y$ against x.

Figure for Question (a) — CAIE IGCSE Additional Math

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(b)

Find an estimate of x when y=1500.

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6.1. Use logarithmic and exponential graphs question 1

Question (a)

Question (b)