Write down the: Co-ordinates of D

August 30, 2026Mathematics

ScanSolve AI Answer

August 30, 2026

Answer

D(0; -3)

To find the y-intercept of a function, we set $x=0$ . Point D is the y-intercept of $g(x)$ .

Step 1: Substitute $x=0$ into the equation for $g(x)$ . $g(x) = \left(\frac{1}{2}\right)^x - 4$ $g(0) = \left(\frac{1}{2}\right)^0 - 4$

Step 2: Simplify the expression. Any non-zero number raised to the power of 0 is 1. $g(0) = 1 - 4$ $g(0) = -3$

Step 3: Write down the coordinates of D. The y-intercept occurs when $x=0$ , so the coordinates of D are $(0, -3)$ . $\boxed{D(0; -3)}$ Send me the next one 📸

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Quick Answer

To find the y-intercept of a function, we set x=0. Point D is the y-intercept of g(x).

Asked on August 30, 2026Mathematics

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 AnswerAnswered on August 30, 2026

To find the y-intercept of a function, we set x=0. Point D is the y-intercept of g(x). Step 1: Substitute x=0 into the equation for g(x). g(x) = ((1)/(2))^x - 4 g(0) = ((1)/(2))^0 - 4 Step 2: Simplify the expression. Any non-zero number raised to the power of 0 is 1. g(0) = 1 - 4 g(0) = -3 Step 3: Write down the coordinates of D. The y-intercept occurs when x=0, so the coordinates of D are (0, -3). D(0; -3) Send me the next one 📸