germany-abitur 2025 Qb

germany-abitur · Other · abitur__nrw_analysis-gk 3 marks Solving quadratics and applications Determining quadratic function from given conditions

For each $k \in \mathbb { R }$, a polynomial function defined on $\mathbb { R }$ is given by
$$u ( x ) = x ^ { 3 } - 3 k \cdot x + k ^ { 2 } - 1$$
(1) Give the value of $k$ for which the corresponding function $u$ coincides with the function $f$.
(2) Determine all values of $k$ for which $u ( 2 ) = 2$ holds.

For each $k \in \mathbb { R }$, a polynomial function defined on $\mathbb { R }$ is given by

$$u ( x ) = x ^ { 3 } - 3 k \cdot x + k ^ { 2 } - 1$$

(1) Give the value of $k$ for which the corresponding function $u$ coincides with the function $f$.

(2) Determine all values of $k$ for which $u ( 2 ) = 2$ holds.

Paper Questions

Qa Qb Qc