Answer: D) No. The graph fails the vertical line test.
Explanation:
We are able to draw a single vertical line that passes through more than one point on the red curve. For example, we could draw a vertical line through x = 5 and have it cross the red curve at (5,4) and (5,-4).
So this is one example where the graph fails the vertical line test. It passes this test when such a thing doesn't happen. In other words, a function is only possible if any x input leads to exactly one and only one y output.
In this case, x = 5 leads to multiple outputs y = 4 and y = -4 at the same time. There are other x values which this occurs as well (any x values such that x > 1). So this is why we don't have a function.
Distribute
(7x)(4x^2-3x-6)+(-3)(4x^2-3x-6)=
28x^3-21x^2-42x-12x^2+9x+18=
28x^3-21x^2-12x^2-42x+9x+18=
28x^3-33x^2-33x+18
D is the correct answer
The equations give you information as to where to plot points.
For y = -x + 1, you know the slope is -1, and the line intersects the y-axis at (0, 1). The y-axis is the vertical line; to plot (0, 1), find 1 on the vertical line and mark it. Now, the slope is -1; that means the line will slope downwards. To plot more points, count 1 unit down from (0, 1) and 1 unit to the right. You should end up at (1, 0).Connect those and you have a line.
For y = -2x + 4, the slope is -2 (so it will also slope downwards), and the y-intercept is 4. Find (0, 4) and plot it. The -2 tells you to count 2 units down (instead of 1 like we did for the last equation) and 1 over. That is the second line.
I hope this helps.
Answer:
Step-by-step explanation:
Reference angle = 30°
Opposite side = x
Adjacent side = 2
Apply the tan trigonometric function, thus:
(tan 30 = 1/√3)
Rationalize
