Question

Estimate the intercepts of the graph of the function.​

Answer 1

Answer: (0,1) (-3,0)

Explanation:

`\displaystyle\\y=(1)/(3)x+1 \\\\1)\ x=0\\\\\Rightarrow\ \ \ \ y=(1)/(3)(0)+1\\\\ y=0+1\\\\y=1\\Thus,\ (0,1)\\\\2)\ y=0\\\\0=(1)/(3)x+1`

Multiply both parts of the equation by 3:

`0=x+3\\0-3=x+3-3\\-3=x\\Hence,\\x=-3\\Thus,\ (-3,0)`