ccps 1200710 - mathematics for college algebra sem b (ic) sy 26\ncomparing characteristics of…

ccps 1200710 - mathematics for college algebra sem b (ic) sy 26\ncomparing characteristics of functions\nwhich function has exactly one $x$- and $y$-intercept?

ccps 1200710 - mathematics for college algebra sem b (ic) sy 26\ncomparing characteristics of functions\nwhich function has exactly one $x$- and $y$-intercept?

Answer

Explanation:

Step1: Analyze first graph

The curve crosses the $y$-axis at $(0, -4)$ (1 y-intercept) and never crosses the $x$-axis (0 x-intercepts).

Step2: Analyze second graph

The curve crosses the $x$-axis at $(2, 0)$ (1 x-intercept) and never crosses the $y$-axis (0 y-intercepts).

Step3: Analyze third graph

The line crosses the $y$-axis at $(0, 2)$ (1 y-intercept) and crosses the $x$-axis at $(4, 0)$ (1 x-intercept).

Step4: Analyze fourth graph

The curve crosses the $y$-axis at $(0, 2)$ (1 y-intercept) and never crosses the $x$-axis (0 x-intercepts).

Answer:

The third function (the linear graph with a positive slope crossing the x-axis at (4,0) and y-axis at (0,2)) has exactly one x- and y-intercept.