Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range. y=-0.5x^2+0.7x-5.1
2 answers:
Answer:
The domain of the equation is all real number and the range of the equation is (-∞,-4.885].
Step-by-step explanation:
The given quadratic equation is
Use a graphing calculator to sketch the graph of the quadratic equation.
The graph of given quadratic equation is shown below.
From the graph it is clear that it is a downward parabola and the vertex of the parabola is (0.7,-4.885).
The function is defined from all values of x, therefore the domain of the function is all real number.
The vertex of the parabola is (0.7,-4.885). It means the maximum value of the function is -4.885 and the value of y cannot be more than -4.885.
So, the range of the function is
Therefore the domain of the equation is all real number and the range of the equation is (-∞,-4.885].
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Answer:
Step-by-step explanation:
The exponential model for the population in t years after 2013 is given by:
In which P(0) is the population in 2013 and r is the growth rate.
In 2013, the moose population in a park was measured to be 5,100
This means that
So
By 2018, the population was measured again to be 5,200.
2018 is 2018-2013 = 5 years after 2013.
So this means that .
We use this to find r.
So the equation for the moose population is: