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The first-quadrant part of a function graph is shown.a. Identify the type of function it could be.b. On what interval or intervals is the function increasing or dec...

Question

The first-quadrant part of a function graph is shown.a. Identify the type of function it could be.b. On what interval or intervals is the function increasing or decreasing, and which way is the graph concave?c. From your experience, what relationship in the real world could be modeled by a function with this shape of graph?d. Find the particular equation for the function if the given points are on the graph.e. Confirm that your equation gives the graph shown.(GRAPH CAN'T COPY)

The first-quadrant part of a function graph is shown. a. Identify the type of function it could be. b. On what interval or intervals is the function increasing or decreasing, and which way is the graph concave? c. From your experience, what relationship in the real world could be modeled by a function with this shape of graph? d. Find the particular equation for the function if the given points are on the graph. e. Confirm that your equation gives the graph shown. (GRAPH CAN'T COPY)



Answers

In each part, sketch the graph of a function $f$ with the stated properties, and discuss the signs of $f^{\prime}$ and $f^{\prime \prime} .$ (a) The function $f$ is concave up and increasing on the interval $(-\infty,+\infty)$ (b) The function $f$ is concave down and increasing on the interval $(-\infty,+\infty) .$ (c) The function $f$ is concave up and decreasing on the interval $(-\infty,+\infty) .$ (d) The function $f$ is concave down and decreasing on the interval $(-\infty,+\infty) .$

From the graph that is given to us, we need to check or find out first the intercepts off the given graph off the function so from the grafting cassettes are at minus 200 tree on 20 nest. We need to find the domain so from the graphic and see that the domain is X is such that minus four is less than or equal to X is less than or equal to four. On the range is vie such that zero is less than or equal to why is less than or equal to tree. Next, we need to find the intervals where the function is increasing or decreasing or constant so from the given graphic and see that the function is increasing in the intervals off minus 20 On 24 it is decreasing in the intervals off minus four on minus two. However, there is no interval buried this constant. It's next. We need to find out whether it doesn't even or an odd function or Neidl. So from the graph, you can see that F off four is equal to do on. We can also see that F off minus four is equal to toe. So therefore we can say that for four is equal toe F off minus foreign. Both are equal to toe, which implies that if is on even function.

Based on the graph, any to answer a few questions relates to the function. Now. The first is we need to find the intercepts off the given function from the graph so we can see that the intercepts are at minus 1002 on 10 Next, we need to find out the domain off the given function. So the domain, as we can see, is X such that minus tree is less than or equal to X is less than or equal to tree on. Also, we need to find the range, which is why such that zero is less than or equal to buy is less than or equal to treat. Next, we need to find the intervals where the given function is increasing, decreasing or constant, So the intervals for the given function is increasing from the graph are minus 120 on 123 The in doubles where the given function is decreasing are minus 3 to 1 on 0 to 1. Next, we need to find whether the given function is even a rod. So from the bluff, what they see is that f off my industry is equal to treat also f off three is also able to tree. So from both of these were taken establish is that f off three is equal to f off my industry, which is equal to tree now. This satisfies the Coalition for uneven function. Therefore, F is on even function.

Based on the graph given to us, Benito, answer a few questions about the function, which represents now. First of all, we need to find the intersects from the graph. You can see that the intercept is at 01 Next, we need to find it. Do may off the given function. Now, from the graph, it is clear that the domain is it is oh via numbers on for the range. Since the graph is basically on, the positive ice of the range will be by greater than zero. Next, we need to find there is the function increasing or decreasing. So from the graph, we can see that the function is increasing between negative infinity toe positive infinity and it is not decreasing or it is not constant anywhere on many tool to find out whether this is, ah ought or even function now, since from the graph, fo zero is equal to one since zero is neither negative nor positive. So therefore, the given function is neither even nor or

Now from the graph, we need to answer a few questions regarding the function. First of all, we need to calculate the intersects. So from the graph, we can see that the interceptors at 10 Next, we need to find the domain off the given graph so the domain will be excess. Such that X is greater than or equal to zero Andi for the range. Now for the range, we see that it is moving in the negative by axis on, deposed by access. So since it's a decreasing functions, so therefore will say that the range kill people way less than zeal. We need to check there is the function increasing or decreasing or constant? So since it's a decreasing function, so the interval, where the function is decreasing, is in zero and positive infinity next winning to say whether the given function is an even function or not function. Now, since F one is equal to zero, I we do not know that what is f off negative on so therefore it is inconclusive on the function is neither even know what


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