where is a constant.
Given that work out the value of .
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where is a constant.
Given that work out the value of .
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f for all
g
Work out the value of gf(4)
[2]
Show that fg can be written in the form where is an integer.
[2]
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The function f is given by
The range is
Work out the domain of the function.
[1]
The function g is given by with domain
Work out the range of the function.
[2]
The function h is given by
Work out
................................[2]
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A function f is given by
A sketch of is shown.
Work out all the values of for which
[4]
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g is a function such that
Work out an expression for
[1]
k is a function such that
Work out an expression for
[2]
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A function is given by
Draw the graph of on the grid.
[4]
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Solve
You must show your working.
[6]
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The domain of is ⩽ 3
Work out the range of .
[2]
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g
The domain of g() is
Work out the range of g().
[2]
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f() is a function with domain all values of .
where is a constant.
Work out the possible values of .
Give your answer as an inequality.
[4]
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for all real values of .
Solve
You must show your working.
[4]
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On the grid, draw the graph of
[4]
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for all values of
for
Work out the range of .
Give your answer as an inequality.
[1]
Work out the range of g.
Give your answer as an inequality.
[2]
Solve =g
You must show your working.
Give your answers to 3 decimal places.
[4]
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For each of these two function machines, when the input is the output is .
and and
Work out an expression for in terms of .
Give your answer in its simplest form.
[6]
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The function has domain
Here is the graph of
Write down the range of for domain
[2]
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for positive values of .
Work out
Give your answer as a fraction in its simplest form.
You must show your working.
[5]
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