The given graphs model exponential functions are a, b and c.
Option a, b and c are the correct answers.
To choose the graph.
<h3>What is exponential function?</h3>
A relation of the form y = ax, with the independent variable x ranging over the entire real number line as the exponent of a positive number a.
Given that:
The three graphs in the second picture are the graphs of exponential functions. You can detect it from the L shaped graphs.
The very first graph represents a linear function. A straight line always represents a linear function. In a Linear function, the change in the values of y is constant throughout in relative to change in x values.
Therefore, the given graphs a, b and c are the correct answers.
Learn more about exponential function here:
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We are asked in the problem to devise a polynomial equation that has a GCF of 6 which means each of the terms can be divided to 6. For example: 6*(x^2 + x+1) = 6x^2 + 6x +6. This polynomial is created by multiplying each terms by the number 6 which is distinguished by factoring.
It is easier to compare a positive number and a negative number because it’s just like regular adding
Given:
f(x) = x²
g(x) = 4x²
Therefore
g(x) = 4f(x)
This means that the value of g(x) is 4 times the value of f(x). So the graph og (x) is the graph of f(x) vertically stretched by a factor of 4.
The graph shown below confirms the conclusion.
Answer: C.
The graph of g(x) is the graph of f(x) vertically stretched by a factor of 4.