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.

Question

Mathematics

Bj

19 March, 09:11

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)

Know the Answer?

Averie Gutierrez · Answer 1

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.

For the basic function f (x) = x, what conclusions can you make about fix) andf (x) - 5? Select all that apply.a. They intercepts are the same.b. The function () - 5 has a greater rateof changec. They are parallel lines:d. The graph of the function (x) is translateddown 5 units to produce fix) - 5.