Question

Can i get some help please this is pretty hard

Answer 1

If you do this step by step, you will see it is actually easy! So first, the slope is found by rise over run!

rise = 2; run = 3

Slope = 2/3

The graph doesn't extend to the x axis!

X intercept = Not there

The y intercept is where the function touches the y axis, this is already evident on the graph!

Y intercept = (0,2)

The domain is all possible x values, the function starts at (0,2) and can't go past that point which makes our domain...

Domain =
`0\leq x`

The range is all possible y values, and since the function's vertical limit is 2, then our range is...

Range =
`2 \leq y`

Answer 2

1. 2/3

2. doesn't exist

3. 2

4. x ≥ 0

5. y ≥ 2

Explanation:

If we were to take any two points on the line and divide the difference of the y-coordinates by the difference of the x-coordinates, we'd get the slope. So, take any two points: (0, 2) and (3, 4). The slope is:

(4 - 2) / (3 - 0) = 2/3

The x-intercept is where the line crosses the x-axis, but since the line only starts at (0, 2), the x-intercept doesn't exist.

The y-intercept is where the line crosses the y-axis, which is at point (0, 2) so the y-intercept is 2.

The domain is the possible x-values. Here, because the smallest x-value is 0 (from the point (0,2)), and there is no largest x-value (the arrow at the end of the line indicates the graph goes on to infinity), the domain is: x ≥ 0.

The range is the possible y-values. Here, the smallest possible y value is 2 (from (0, 2)) and the largest is infinity, so the range is: y ≥ 2.