Which statement is true about the graphs of exponential functions?
2 answers:
Answer: Option 'c' is correct.
Step-by-step explanation:
Exponential function is in the form of
Linear function is in the form of
Quadratic function is in the form of
We know that the rate of growth in exponential function is first higher than it goes down whereas the rate of growth is constant in both the linear and quadratic functions.
Hence, The graphs of exponential functions eventually exceed the graphs of linear and quadratic functions.
Thus, Option 'c' is correct.
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The table models an exponential relationship, and the equation of the table is
The table of values is given as:
x 0 1 2 3 4
y 4 2 1 1/2 1/4
The above table shows an exponential model
An exponential model is represented as:
When x = 0 and y = 4, we have
Evaluate
a = 4
When x = 1 and y = 2, we have
Evaluate
Substitute 4 for a
4b = 2
Divide both sides by 4
b = 1/2
Substitute 4 for a and 1/2 for b in
Hence, the equation of the table is
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