A -intercept is where a graph crosses the vertical axis, so its input is . For a function written as a product, evaluate in Desmos and report the whole point . Don’t set a factor equal to : that finds an -intercept instead.
Hints
- Hint 1
The -axis is the vertical axis, and every point on it has . That fixes the first coordinate of the requested point. What input should you give to find its second coordinate?
- Hint 2
In function notation, means replace with in both factors, then include the number outside them. Setting a factor equal to would find an -intercept instead.
Step-by-step
Evaluate the function at zero
Step 1Identify the input at the intercept
A -intercept is where the graph crosses the vertical axis. That axis has , so the intercept is . Setting a factor equal to would find where the graph crosses the horizontal axis instead.
- Step 2
Find the output and write the point
Type in Desmos, then type . This puts into both factors: . Desmos prints on the line, so the -intercept is . Choice B.