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Today, 07:07

For the basic function f (x) = x, what conclusions can you make about fix) and

f (x) - 5? Select all that apply.

a. They intercepts are the same.

b. The function () - 5 has a greater rate

of change

c. They are parallel lines:

d. The graph of the function (x) is translated

down 5 units to produce fix) - 5.

+5
Answers (1)
  1. Today, 07:33
    0
    c, d

    Step-by-step explanation:

    If f (x) = x, then f (x) - 5 = x - 5.

    The two functions in slope-intercept form (y = mx + b) are:

    [1] y = x and [2] y = x - 5

    In equation [1], the slope is 1 and the y-intercept is 0.

    In equation [2], the slope is 1 and the y-intercept is - 5.

    a. The y-intercepts are not the same. 0 ≠ - 5

    b. The rates of change, or the slopes, are the same, neither are greater than the other. 1 = 1

    c. They are parallel lines. Lines are parallel when they have the same slope. 1 = 1.

    d. The (-5) indicates that the new function is translated down (-) by 5 units (5) from the parent function f (x) = x.

    c and d are correct.
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