Solved: Write down the: Co-ordinates of D | Mathematics

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

Substitute $x=0$ into the equation for $g(x)$ .
$g(x) = \left(\frac{1}{2}\right)^x - 4$ $g(0) = \left(\frac{1}{2}\right)^0 - 4$
Simplify the expression.
Any non-zero number raised to the power of 0 is 1.
$g(0) = 1 - 4$ $g(0) = -3$
Write down the coordinates of D.
The y-intercept occurs when $x=0$ , so the coordinates of D are $(0, -3)$ .
$\text{D}(0; -3)$

Write down the: Co-ordinates of D