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stira [4]
3 years ago
15

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

Mathematics
2 answers:
lianna [129]3 years ago
8 0

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

y=-0.5x^2+0.7x-5.1

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

Range=\{y|y\leq -4.885\}

Therefore the domain of the equation is all real number and the range of the equation is (-∞,-4.885].

blsea [12.9K]3 years ago
4 0
The graph below is on the scale of five and I hope it is helpful.

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