Use the information from the graphs to write the equation in y=ab*^x
1 answer:
Answer:
1). y = 4(1.75)ˣ
2). y = (2)ˣ
Step-by-step explanation:
1). Let the equation of the given exponential graph is,
y = a(b)ˣ
Graph of the given equation passes through two points (0, 4) and (0+1, 4+3)
For point (0, 4),
4 = a(b)⁰
a = 4
For point (1, 7),
7 = 4(b)¹
b =
b = 1.75
Therefore, equation of the function is,
y = 4(1.75)ˣ
2). Similarly, equation of the second graph will be same in the form of
y = a(b)ˣ
Second graph passes through the points (0, 1) and (2, 4)
For (0, 1),
1 = a(b)⁰
a = 1
For (2, 4),
4 = 1(b)²
b = 2
Therefore, exponential function representing the graph will be,
y = 1(2)ˣ
y = 2ˣ
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The intervals which represents those in which case the function, f(x) is reducing are as follows; [–2.5, –2], [–2, –1.5], [1.5, 2], [2, 2.5].
<h3>Which intervals naming the answer choices show the function f(x) decreasing?</h3>It follows from the complete task content that the x-intervals between which the function value of f(x) is reducing are to be identified from the graph as attached.
On this note, by observation on the graph, it follows that from between the interval; [–2.5, –2], the function f(x) is decreasing.
Also, between the interval; [–2, –1.5], the function f(x) is decreasing.
Also, between the interval; [1.5, 2], the function f(x) is decreasing.
Also, between the interval; [2, 2.5], the function f(x) is decreasing.
Remark: The answer choices are as follows; [–2.5, –2] [–2, –1.5] [–1, 1] [1.5, 2] [2, 2.5) [2.5, 3]
Read more on decreasing intervals;
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