Given the function
[tex]H(x)=2x-1[/tex]To find the x-intercept, set H(x)=0 and solve for x, as shown below
[tex]\begin{gathered} H(x)=0 \\ \Rightarrow2x-1=0 \\ \Rightarrow2x=1 \\ \Rightarrow x=\frac{1}{2} \\ \Rightarrow(\frac{1}{2},0)\to\text{ x-intercept} \end{gathered}[/tex]As for the y-intercept, set x=0 and find H(0)
[tex]\begin{gathered} H(0)=2(0)-1=-1 \\ \Rightarrow(0,-1)\to\text{ y-intercept} \end{gathered}[/tex]The answers are (1/2,0)->x intercept and (0,-1)-> y-intercept
