Question

Intervals are not my strongest suit when it comes to prepping for my act. I could use a little help, and advice if it isn’t too much? Thank you for taking your time to help fellow students.

Answer 1

Answer:

F. (-4, oo)

Step-by-step explanation:

Start from the left side.

The arrow on the left side shows that the graph continues increasing forever as x decreases. Beginning at the highest value of y you see on the left side at point (-6, 5), as x increases, moving right along the x-axis, the y-values decrease. When you get to x = -4, y is at its lowest value which is 1.

Starting just to the right of x = -4, the y-values begin to increase from the lowest y-value of 1. The arrowhead at the right side top shows that the curve continues increasing forever to infinity.

The values of x for which y increases are all values greater than -4 and all the way to positive infinity.

This function is increasing for x > -4.

Now we need to write x > -4 in interval notation.

In interval notation, use a curved parenthesis to mean a number that is not included. The interval starts at -4, so it starts as

(-4

Then you write a comma to separate from the value where the interval ends.

(-4,

The interval in x of increasing values goes to positive infinity, so now you write the infinity symbol, and you close the interval with a curved parenthesis. By convention, infinity always gets a curved parenthesis. Also, I'll use oo for infinity below.

(-4, oo)

Answer: F. (-4, oo)