Which graph represents the function f(x)=2^x+3 ?
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Answer:
When answering this, you need to look at the equation. It has a Y-intercept of 3. Just by seeing that, you can tell the last graph is the right answer.
Step-by-step explanation
Y-intercept is +3 which means it the line crosses the y axis at positive 3.
The function f(x) = 2^x+3 is exponential function that has its vertex to be (0,4).
The 2nd graph is correct.
To choose the graph represents the function.
Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them
Given that:
The equation of the function f(x) is given as:
f(x) = 2^x+3
The above function is a exponential function that has its vertex to be (0,4)
Calculate the other points on the graph as follows:
f(0) = 2^0+3=3
f(1) = 2^1+3 = 5
f(2) = 2^2+3 = 7
f(3) =2^3+3 = 11
f(4) = 2^4+3= 19
f(5) = 2^5+3= 35
f(6) =2^6+3 = 69
Next, we plot the graph of f(x) using the above points
See attachment for the graph of f(x) = 2^x+3
Learn more about graph here:
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