smc-986-20-Quadratic

Functions, 2ADV F1 2022 HSC 10 MC

The graphs of and are shown.

Which graph best represents

Show Answers Only

Show Worked Solution

♦ Mean mark 46%.

Functions, 2ADV F1 EQ-Bank 11

Given the function and , sketch over its natural domain. (2 marks)

--- 6 WORK AREA LINES (style=lined) ---

Show Answers Only

Show Worked Solution

Functions, 2ADV F1 2019 MET1-N 2

Let and .

Find . (2 marks)

--- 6 WORK AREA LINES (style=lined) ---
Express in the form , where , and are non-zero integers. (2 marks)

--- 4 WORK AREA LINES (style=lined) ---

Show Answers Only

Show Worked Solution

a.

b.

Functions, 2ADV F1 SM-Bank 31

Find the domain and range of given

and . (2 marks)

--- 4 WORK AREA LINES (style=lined) ---

Show Answers Only

Show Worked Solution

Functions, 2ADV F1 SM-Bank 30

Given and

Find . (1 mark)

--- 2 WORK AREA LINES (style=lined) ---
Find the domain and range of . (2 marks)

--- 3 WORK AREA LINES (style=lined) ---

Show Answers Only

Show Worked Solution

i.

ii.

Functions, 2ADV F1 SM-Bank 12 MC

If , then is equal to

Show Answers Only

Show Worked Solution

Functions, 2ADV F1 SM-Bank 10

Let Write down the rule of (1 mark)

Show Answers Only

Show Worked Solution

Functions, 2ADV F1 SM-Bank 8 MC

Let

Which one of the following is not true?

Show Answers Only

Show Worked Solution

Functions, 2ADV F1 SM-Bank 7

Let for and for all .

Find , where . (1 mark)

--- 2 WORK AREA LINES (style=lined) ---
State the domain and range of . (2 marks)

--- 4 WORK AREA LINES (style=lined) ---
Show that . (2 marks)
--- 4 WORK AREA LINES (style=lined) ---

Show Answers Only

Show Worked Solution

i.

ii.

♦♦ Mean mark part (a)(ii) 30%.

MARKER’S COMMENT: Many students were unsure of how to present their working in this question. Note the layout in the solution.

iii.

Functions, 2ADV F1 SM-Bank 5 MC

Let and

Then is given by

Show Answers Only

Show Worked Solution