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Differentiation of exponential and logarithmic functions — Question 351

Original QCE Vault practice · 5 marks

Q351 · Practice questionTechnology-freeComplex familiar5 marks

QUESTION 351 (5 marks)

The graph of

f(x)=a\ln(x+2)+b

has vertical asymptote

x=-2

and passes through

(0,1)

and

(2,3)

, as shown.

Increasing logarithmic curve through (0,1) and (2,3), with dashed asymptote x=-2.

a)

State the domain of

f

.

[1 mark]

b)

Determine

a

and

b

exactly.

[3 marks]

c)

Determine

x

when

f(x)=5

.

[1 mark]

Question linkSyllabus coverage

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