Question

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

Answer 1

The graph below is on the scale of five and I hope it is helpful.

Answer 2

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

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\leq -4.885\`

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