Which of the following are true about the graph of the function f(x)=2(0.33x) ? Select the two correct answers.

Question

A) The f(x)-intercept is (0, 2)..

B) The graph passes through the point (1, 2)

C) The x-intercept is (0, 0)

D) The graph passes through the point (2, 1)

E) There is no x-intercept.

Answer 1

The correct answers are:

C) The x-intercept is (0, 0)

E) There is no x-intercept.

To find the x-intercept, we set f(x) equal to zero and solve for x:

2(0.33x) = 0

0.66x = 0

x = 0

Therefore, the x-intercept is (0,0).

In the given function, f(x) = 2(0.33x), there is no point where the graph crosses the x-axis, so there is no x-intercept.