The table shows some values of $$$y=3+4 x-x^{2}$$$ for $$$-1 \leqslant x \leqslant 5$$$. Write down an integer value of $$$k$$$ for which the equation $$$3+4 x-x^{2}=k$$$ has no solutions.

Mathematics

IGCSE&ALevel

CAIE

Exam No：0580_s21_qp_41 Year：2021 Question No：10(c)

Answer:

Accept any integer $\geq 8$

Knowledge points:

E2.11.1

E2.11.2 Solve associated equations approximately, including finding and interpreting roots by graphical methods. (Find turning points of quadratics by completing the square.)

E2.11.3 Draw and interpret graphs representing exponential growth and decay problems.

E2.11.4 Recognise, sketch and interpret graphs of functions. (Linear, quadratic, cubic, reciprocal and exponential.) (Knowledge of turning points and asymptotes is required.)

Solution:

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The table shows some values of $$\(y=3+4 x-x^{2}\)$$ for $$\(-1 \leqslant x \leqslant 5\)$$. Write down an integer value of $$\(k\)$$ for which the equation $$\(3+4 x-x^{2}=k\)$$ has no solutions.

Answer:

Knowledge points:

Solution:

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