Question 3 (2 points) (07.06)

What statement correctly describes the key features of the graph of f(x) = −3( one third )x + 1 − 2? (2 points)

a
Y-intercept of (0, −3), starts down on the left, gets closer to y = −2 on the right

b
Y-intercept of (0, −3), starts up on the left, gets closer to y = −2 on the right

c
Y-intercept of (0, 2), starts down on the left, gets closer to y = −1 on the right

d
Y-intercept of (0, 2), starts up on the left, gets closer to y = −1 on the right

b

Step-by-step explanation:

the answer is A

Step-by-step explanation:

We are given the function,

Now, we know,

'Y-intercept is the point when the graph crosses the y-axis i.e. when x = 0'.

So, we have,

i.e.

i.e.

i.e. f(0)= -3

So, the y-intercept is (0,-3).

Thus, options C and D are not correct.

Moreover, from the figure below, we see that,

The graph starts down on the left and goes closer to y= -2 on the right.

Hence, option A is correct.

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