Functions, EXT1 F1 EQ-Bank 13
The diagram shows the graph of the function `g(x).`
Draw a half page graph of `y = sqrt(g(x)),` showing any asymptotes and stating its domain and range. (2 marks)
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The diagram shows the graph of the function `g(x).`
Draw a half page graph of `y = sqrt(g(x)),` showing any asymptotes and stating its domain and range. (2 marks)
`text(Domain:)\ {x <= −2 \ ∪\ x >= 1}`
`text(Range:)\ {y >= 0}`
The diagram shows the graph of `y = f(x).`
Draw a separate half-page diagram for each of the following functions, showing all asymptotes and intercepts.
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`C`
The diagram shows the graph of a function `f(x).`
Sketch the following curves on separate half-page diagrams.
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i. `y^2 = f(x)`
`text(Only exist for)\ \ f(x) >= 0`
`y^2 = 1,\ \ \ y = +- 1`
ii. `y = 1/(1 – f(x))`
`f(x) = 1,\ \ \ y\ text(undefined.)`
`f(x) > 1,\ \ \ y < 0`
`f(x) <= 0, \ \ \ y <= 1`