Which of the following options represents a characteristic of an exponential equation?
2 answers:
Answer: The answer is (b) A constant with an exponent on it.
Step-by-step explanation: We are to select the correct statement from the given options that represents a characteristic of an exponential function.
We know that an exponential function is a function of the form
where b ≠ 0.
Here 'b' is a constant and the variable 'x' is called an exponent. Also, if b > 0, then the function shows an exponential growth and if b < 0, then the function shows an exponential decay.
Thus, an exponential function involves a constant with an exponent on it.
Thus, (b) is the correct option.
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The function of the polynomial is (b)
From the graph, we have the following highlights
- The graph crosses the x-axis at x = -1 and x = 3
- The graph touches the x-axis at x = -2
The above highlights mean that:
- The function has a multiplicity of 1 at x = -1 and x = 3
- The function has a multiplicity of 2 at x = -2
So, the function of the polynomial is:
Assume a = 1.
So, we have:
Multiply
Hence, the function of the polynomial is (b)
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