Introduction to integration — Question 117

Original QCE Vault practice · 1 mark

Q117 · Practice questionTechnology-freeSimple familiar1 mark

QUESTION 117

A function satisfies

f'(x)=4x^3-2

and

f(1)=5

. Determine

f(0)

(A)

4

(B)

5

(C)

6

(D)

7

ABCD

WORKED SOLUTION

1 mark

ANSWER

Worked solution

Integrating gives

f(x)=x^4-2x+C

. Since

f(1)=5

1-2+C=5

, so

C=6=f(0)

Selects the correct option.

[1 mark]

Practice question aligned to the current QCAA syllabus; review the worked solution and marking criteria.