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Difficulty: Hard
| ID | Section | Domain | Skill | Difficulty | Question | Actions |
|---|---|---|---|---|---|---|
| math_adv_710 | Math | advanced_math | nonlinear_functions | Hard | The function \(f\) is defined by \(f(x) = 8x^2 - 20x + 3\). For what value of \(x\) does \(f(x)\) have its minimum value? | |
| math_adv_709 | Math | advanced_math | nonlinear_functions | Hard | For the function \(f(x) = 7x^2 + 28x - 11\), what value of \(x\) makes \(f(x)\) as small as possible? | |
| math_adv_708 | Math | advanced_math | nonlinear_functions | Hard | A quadratic function is given by \(f(x) = 6x^2 - 15x + 22\). What is the \(x\)-coordinate of the minimum point of its graph? | |
| math_adv_707 | Math | advanced_math | nonlinear_functions | Hard | The function \(f\) is defined by \(f(x) = 4x^2 + 10x - 9\). For what value of \(x\) does \(f(x)\) have its minimum value? | |
| math_adv_706 | Math | advanced_math | nonlinear_functions | Hard | For the function \(f(x) = 5x^2 - 30x + 7\), what value of \(x\) makes \(f(x)\) as small as possible? | |
| math_adv_705 | Math | advanced_math | nonlinear_functions | Hard | A quadratic function is given by \(f(x) = 2x^2 + 18x - 5\). What is the \(x\)-coordinate of the minimum point of its graph? | |
| math_adv_704 | Math | advanced_math | nonlinear_functions | Hard | The function \(f\) is defined by \(f(x) = 3x^2 - 24x + 50\). For what value of \(x\) does \(f(x)\) have its minimum value? | |
| math_adv_703 | Math | advanced_math | nonlinear_functions | Hard | Function \(f\) is quadratic, with \(f(-13) = 0\) and \(f(7) = 0\). The graph of \(y = f(x)\) has vertex \((r, -36)\). What is t... | |
| math_adv_702 | Math | advanced_math | nonlinear_functions | Hard | Function \(f\) is quadratic, with \(f(3) = 0\) and \(f(9) = 0\). The graph of \(y = f(x)\) has vertex \((r, -36)\). What is the... | |
| math_adv_701 | Math | advanced_math | nonlinear_functions | Hard | Function \(f\) is quadratic, with \(f(-30) = 0\) and \(f(-6) = 0\). The graph of \(y = f(x)\) has vertex \((r, -36)\). What is ... |