13
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Constructing Linear Functions

Question 13 • NC-Foundations of Math 1 (Fall) [2nd 9 Weeks]

Given the graph of a linear function, identify the steps used to find the initial value. Check all that apply.

Answer
A
Find the rate of change using rise over run.
B
Find corresponding y values when x = 6, x = 7, and x = 8. Then plot the points to finish the line.
C
Find corresponding y values when x = 2, x = 1, and x = 0. Then plot the points to finish the line.
D
The initial value corresponds to the y value when x = 1.
E
The initial value corresponds to the y value when x = 0.

Explanation

The initial value is the function’s y-value when x = 0, so E is correct. If the graph does not show that value directly, find the rate of change using rise over run (A), then use it to find the y-values as x decreases to 0 (C). The y-value at x = 1 is not the initial value, so D is incorrect.

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