- Complete a possible sequence of transformations to map
to . (2 marks)
• Dilation of factorfrom the axis. --- 2 WORK AREA LINES (style=lined) ---
Two functions
- Give the domain and range for the inverse of
. (2 marks) --- 3 WORK AREA LINES (style=lined) ---
Shown below is the graph of
The intersection points between the graphs of
-
- Find the coordinates of
and , correct to two decimal places. (1 mark)
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- Find the coordinates of
-
- Find the area of the region bound by the graphs of
, the inverse of and the inverse of . - Give your answer correct to two decimal places. (2 marks)
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- Find the area of the region bound by the graphs of
Let
- The turning point of
always lies on the graph of the function , where is an integer. - Find the value of
. (1 mark) --- 2 WORK AREA LINES (style=lined) ---
Let
The rule for the inverse of
- What is the smallest value of
such that will intersect with the inverse of ?\ - Give your answer correct to two decimal places. (1 mark)
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It is possible for the graphs of
- Find the area of the region bound by the graphs of
and the inverse of , where . - Give your answer correct to two decimal places. (2 marks)
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