Go to the following: hups://www desmos com/calculator/mxhkobs yik In the first line, type the (implicit) function: \( x+y=3 \) In the second line, type the (explicit) function: \( f(x)=-x^{2}+5 \) Calculate (by hand) the intercepts for \( x+y=3 \).

To find the intercepts of the implicit function \( x + y = 3 \), we will calculate both the x-intercept and the y-intercept. ### Step 1: Finding the x-intercept The x-intercept occurs when \( y = 0 \). We can substitute \( y = 0 \) into the equation: \[ x + 0 = 3 \] This simplifies to: \[ x = 3 \] So, the x-intercept is at the point \( (3, 0) \). ### Step 2: Finding the y-intercept The y-intercept occurs when \( x = 0 \). We can substitute \( x = 0 \) into the equation: \[ 0 + y = 3 \] This simplifies to: \[ y = 3 \] So, the y-intercept is at the point \( (0, 3) \). ### Summary of Intercepts - The x-intercept is \( (3, 0) \). - The y-intercept is \( (0, 3) \). These are the intercepts for the implicit function \( x + y = 3 \).