This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Hey Minnie🔥♥, good to see you again. Here's how to calculate the values of p and q: Step 1: Use the y-intercept B(0; -3) to find q. The function is f(x) = p^x + q. Since B(0; -3) is the y-intercept of f, substitute x=0 and f(x)=-3 into the equation. -3 = p^0 + q Since any non-zero number raised to the power of 0 is 1 (p^0 = 1): -3 = 1 + q q = -3 - 1 q = -4 Step 2: Use the point A(3; 4) and the value of q to find p. Point A(3; 4) is on the graph of f(x). Substitute x=3, f(x)=4, and q=-4 into the equation f(x) = p^x + q. 4 = p^3 + (-4) 4 = p^3 - 4 Add 4 to both sides: 4 + 4 = p^3 8 = p^3 Take the cube root of both sides: p = [3]8 p = 2 The values are p=2 and q=-4. p=2, q=-4 Send me the next one 📸