Question

Consider the following graph of a quadratic function. 101 4 2 10 -8 -6 4 0 2 6 8 10 -2 -6 -10) Which of the statements are true? Select all that apply. The function is decreasing over the interval x < -1. The range of the function is all real numbers. The function is increasing over the interval x < -1. The domain of the function is all real numbers The function has a relative minimum at (-1,5).

Answer 1

The true statements include

- The function is increasing over the interval x < -1.

- The domain of the function is all real numbers.

- The function has a relative minimum at (-1, 5).​

Step-by-step explanation

From the graph, we can see that at values of x less than -1, the curve of the function slopes upwards indicating an increase for the function at values of x < -1.

The domain of a function refers to the values of the independent variable (x), where the dependent variable [y or f(x)] or the function has a corresponding real value. The domain is simply the values of x for which the output also exists. It is the region around the x-axis that the graph of the function spans.

We can see that the graph continues upwards and each value of x will eventually have a corresponding value of y.

The function has a minimum value at x = -1, y = 5.

So, the graph truly has a relative minimum at (-1, 5).

Hope this Helps!!!