Given the graph of the function, f(x), what is the value of f (–2)?

The value of is .

Given:

The graph of the function .

To find:

The value of .

Explanation:

In the given graph there is an open circle at and a closed circle at . It means the point is included in the function but the points does not included in the function.

Therefore, the value of is .

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Step-by-step explanation:

Look at x = -2 on the graph (on the x-axis).  Draw a vertical line through x = -2.  If this line passes through a dark dot (which indicates that a y-value is associated with that x-value), we have evaluated the function.  The dot in question is (-2, 0) (dark dot).  The same vertical line passes through (-2, -2), but this is not the correct y value for x = -2 (it's an open circle).

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

your answer is a