Mathematics 0580 · IGCSE · Sketching curves

Sketching curves — practice question

(a(i))[2]

Fill in the table.

(a(ii))[2]

Fill in the table.

(b)[6]

On the grid, sketch the graphs of $y = 2^x$ and $y = 14 - x^2$ for $0 \le x \le 4$.

(c(i))[1]

Solve $2^x = 12$

(c(ii))[1]

Solve $2^x = 14 - x^2$

(d(i))[1]

On the grid, draw the line from the point $(4, 2)$ that has a gradient of $-4$.

(d(ii))[2]

Complete the statement. This straight line is a [BLANK] to the graph of $y = 14 - x^2$ at the point ([BLANK], [BLANK]).

Worked solution & mark scheme

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