2- Variable Equations & Inequities Sample Work

Question

Directions:

Answer the questions below.
You will be able to check your answers by clicking on "Check Answers" at the bottom.
You can make corrections before submitting this Sample Work.
(1 point)
1) Graph f(x) = x2−3x+2
in Desmos. Click here to open Desmos (opens in new tab).

2) f(0) =


3) ​f(1)=

4)​f(2)=

5) The y-intercept is
a
. Write it as an ordered pair

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Answer 1

To work through the problems step by step:

1. First, you can graph the function \( f(x) = x^2 - 3x + 2 \) in Desmos. This will help you visualize the function and check points.

2. To find \( f(0) \): \[ f(0) = 0^2 - 3(0) + 2 = 0 - 0 + 2 = 2 \] So, \( f(0) = 2 \).

3. To find \( f(1) \): \[ f(1) = 1^2 - 3(1) + 2 = 1 - 3 + 2 = 0 \] So, \( f(1) = 0 \).

4. To find \( f(2) \): \[ f(2) = 2^2 - 3(2) + 2 = 4 - 6 + 2 = 0 \] So, \( f(2) = 0 \).

5. The y-intercept occurs where \( x = 0 \). Since we already calculated \( f(0) \), the y-intercept is at the point \( (0, 2) \).

Summary of Answers:

• \( f(0) = 2 \)
• \( f(1) = 0 \)
• \( f(2) = 0 \)
• The y-intercept is \( (0, 2) \) as an ordered pair.

You can now enter these answers into your assignment. If you have any further questions or need additional help, feel free to ask!