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Features of function Graphs 2175forals.com Topical synopsis | Algebra 1 overview | MathBits\" Teacher sources Terms of Use call Person: Donna Roberts
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The features of a role graph can show us many facets of the relationship represented by the function. Let\"s take a look at the more popular graphical features. Be sure to pay attention to the vocabulary and the notation provided in this section.
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Intercepts are the places (points) whereby the graph the cross (or touches) either the x-axis or y-axis.
• To find the y-intercept, collection x = 0, and also solve because that y. Remember: the y-intercept will have actually an x-coordinate of 0. y = f (x) = -2x + 2 y = -2(0) + 2; y = 2 y-intercept: (0,2) (Yes, you can also read the y-intercept, b, from the duty equation if it is in y = mx + b form.) • To find the x-intercept, set y = 0, and also solve because that x. Remember: the x-intercept will have a y-coordinate the 0.

You are watching: How to tell if a function is positive or negative

y = f (x) = -2x + 2 0 = -2x + 2; 2x = 2; x = 1 x-intercept: (1,0)
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y-values hopeful ory-values negative

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• The optimistic regions of a role are those intervals where the function is above the x-axis. that is where the y-values are optimistic (not zero).

• The negative regions the a role are those intervals whereby the role is below the x-axis. it is whereby the y-values are negative (not zero).

y-values that are on the x-axis space neither confident nor negative. The x-axis is where y = 0.

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Some attributes are positive over their whole domain (All y-values above the x-axis.)
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positive: -∞ or \"all Reals\", or (-∞,+∞)
Some features are an adverse over their entire domain. (All y-values listed below the x-axis.)
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negative: -∞ or \"all Reals\", or (-∞,+∞)
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positive: x > 0 or (0,+∞) negative: x or (-∞,0) (do not incorporate zero)
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The conversation on this page will describe \"strictly\" increasing and \"strictly\" decreasing.
When trying to find sections that a graph the are boosting or decreasing, be sure to look in ~ (or \"read\") the graph from left come right.