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Use the information from the graphs to write the equation in y=ab*^x

Use the information from the graphs to write the equation in y=ab*^x-example-1
User Teknix
by
7.4k points

1 Answer

2 votes

Answer:

1). y = 4(1.75)ˣ

2). y = (2)ˣ

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 =
(7)/(4)

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

User Septi
by
7.9k points

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