Barış Yayınları AYT Matematik Soru Bankası (2024 Edition)
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Extensive coverage divided into sections (Trigonometry-I and II). Baris Yayinlari AYT Matematik Soru Bankasi 2024...
log2(x2−1)−log2(x+1)=1log base 2 of open paren x squared minus 1 close paren minus log base the square root of 2 end-root of open paren the square root of x plus 1 end-root close paren equals 1 Let . If the function is strictly increasing for all real , what is the smallest integer value that Answer Key & Explanations 1. Polynomials Answer: Step 1: Let the roots be Step 2: The polynomial is Step 3: Use Step 4: Since is third-degree with real coefficients, must result in real roots. For , substitute into the factored form. 2. Quadratic Equations Answer: Step 1: Find vertex Step 2: Since the vertex is on Step 3: Set and solve the resulting quadratic for 3. Trigonometry Answer: Step 1: Use the identity Step 2: Simplify the equation: Step 3: Use Step 4: Step 5: Use 4. Logarithms Answer: Step 1: Simplify Step 2: The equation becomes Step 3: Polynomials Answer: Step 1: Let the roots be