Question

Find the x- and y- intercepts of the equationH(x)=2x-1Enter answer as points (a,b)

Answer 1

Given the function

$H(x)=2x-1$

To find the x-intercept, set H(x)=0 and solve for x, as shown below

$\begin{gathered} H(x)=0 \\ \Rightarrow2x-1=0 \\ \Rightarrow2x=1 \\ \Rightarrow x=\frac{1}{2} \\ \Rightarrow(\frac{1}{2},0)\to\text{ x-intercept} \end{gathered}$

As for the y-intercept, set x=0 and find H(0)

$\begin{gathered} H(0)=2(0)-1=-1 \\ \Rightarrow(0,-1)\to\text{ y-intercept} \end{gathered}$

The answers are (1/2,0)->x intercept and (0,-1)-> y-intercept