Answer:
1: (C)
2: (C)
3: (D)
4: (A)
5: (D)
Step-by-step explanation:
1: "Which could be the entire interval over which the function, f(x), is negative?"
When f(x) is negative, that means the values under the f(x) column is negative. As you can see, -16 & -8 are the only times when f(x) is negative. To find the interval, we are going to use x-values. Notice how as x continues to decrease, f(x) also decreases. So the answer is (-infinity, -6).
2: "Which equation represents the graphed function?"
Looking at the graph, we see that the y-intercept is (0, -2). However, all the answer choices have the correct y-intercept, so now we must focus on getting the correct slope. The slope is positive, so the answer is either (A) or (C). To find the correct answer, use the rise/run method from (0, -2) to (4, -1). You rise 1 and run 4, so the slope is 1/4. The answer is y = 1/4x - 2.
3: "If f(1) = 10, what is f(3)?"
I honestly don't know how to do this one. I looked it up on Brainly and some other people said the answer is 30. Credits to dragonheartedking on Brainly.
4: "Which table represents a linear function?"
Table A represents a linear function because each time x increases by 1, y increases by the same amount of 4 each time. It doesn't fluctuate like the rest of the answer choices.
5: "How many units below the y-intercept of g(x) is the y-intercept of f(x)?"
The y-intercept is the point where the function intersects with the y-axis. We start from (0, 2) and count the units as we reach (0, -1). The answer is 3 units.
Hope this helps (●'◡'●)
