Which of the following statements are true about the graph below? select all that apply.

The domain of the function is the set of all real numbers; the range of the function is the set of all nonnegative real numbers; the graph has an intercept at (0, 0); and the graph is symmetric with respect to the y-axis.

Step-by-step explanation:

This is not a square root function, this is a quadratic function, which has an x².

The domain, or set of x-values, is all real numbers.  This is because all numbers work for x.

The range, or set of y-values, is the set of all nonnegative real numbers.  This is because all numbers we get for y are positive real numbers.

The graph intersect both the x- and y-axis (x-intercept and y-intercept) at (0, 0).

The graph is decreasing on the interval x<0 and increasing on the interval x>0, not the other way around.

The graph has a minimum at (0, 0), not a maximum.

The graph can be folded in half along the y-axis, so it is symmetric with respect to the y-axis.

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

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step-by-step explanation: