Question

Select the correct answer.

f(x)
=
2x + 4,
4+x,
-x + 5,
x-2
-2 < x < 2
2 ≤ x
Which of the following is the graph of the function shown above?

Answer 1

The function given is:

f(x) = 2x + 4

To graph this function, we can plot a few points or use slope-intercept form. In slope-intercept form, the equation is:

y = 2x + 4

This means the y-intercept is 4 and the slope is 2. We can plot the y-intercept at (0, 4), and use the slope to find another point, for example (1, 6). Then we can draw a line through those two points.

Out of the answer choices provided, we can see that the graph that corresponds to this function is (A).

Therefore, the correct answer is:

(A)

(Note: the other information provided, such as the inequalities, do not affect the graph of the function.)