Find F(4) for the function f(x) = 3x-5
1 answer:
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Answer: B. 0 and D. 3
Step-by-step explanation:
Here the given function is,
For finding the solution of this system of equation,
First we will plot the function on the graph,
Graph of function f(x),
x-intercept and y-intercept are (1.286,0) and (0,-3) respectively,
Also, it is a straight line,
Hence, we can plot this line on the graph,
Graph of function g(x),
Function g(x) is an exponential function having x-intercept and y -intercept, (2,0) and (0,-3) respectively.
Also, the end behavior is,
As ,
As ,
Hence, we can plot the graph of g(x),
By plotting the graph,
We found that the intersection of the function f(x) and g(x) are (0,-3) and (3,4).
Hence, the solution of the system is the x-coordinates of the intersection points that are 0 or 3.
⇒ Option B and C is the correct options.
Note that
1.
The x-intercepts are at points x=-3, x=0, x=2. The graph should be increasing - decreasing - increasing.
2.
The x-intercepts are at points x=-2, x=0, x=3. The graph should be increasing - decreasing - increasing.
3.
The x-intercepts are at points x=-3, x=0, x=2. The graph should be decreasing - increasing - decreasing.
4.
The x-intercepts are at points x=-2, x=0, x=3. The graph should be decreasing - increasing - decreasing.
From the diagram you can see that x-intercepts are at points x=-3, x=0, x=2 and the graph is decreasing-increasing-decreasing.
Answer: correct choice is 3.