Use the graph shown to find the following.
(a) The domain and range of the function
(b) The intercepts, if any
(c) Horizontal asymptotes, if any
(d) Vertical asymptotes, if any
(e) Oblique asymptotes, if any
Answers
(a) The domain of the function is (-∞; 0) U (0; +∞) and the range is (-∞; +∞).
(b) There are 2 x-intercepts: (-2, 0) and (2, 0). There is no y-intercept.
(c) This function does not have horizontal asymptotes.
(d) The vertical asymptote is x = 0.
(e) The oblique asymptote is y = -3x.
We want to find different elements of the function given in the graph.
(a) The domain and range of the functionThe domain of a function is the complete set of possible values of the independent variable. The domain of this function is (-∞; 0) U (0; +∞).The range of a function is the complete set of all possible resulting values of the dependent value. The range of this function is (-∞; +∞).(b) The interceptsThe intercept is a point where the graph of a function intersects the axis. There are 2 x-intercepts: (-2, 0) and (2, 0). There is no y-intercept.
(c) Horizontal asymptotesHorizontal asymptotes are horizontal lines that the graph of the function approaches as x tends to +∞ or −∞. This function does not have horizontal asymptotes.
(d) Vertical asymptotesVertical asymptotes are invisible vertical lines that certain functions approach, yet do not cross, when the function is graphed. The vertical asymptote is x = 0.
(e) Oblique asymptotesAn oblique asymptote is a slanted line that the function approaches as x approaches ∞ or -∞.
We have 2 points for this asymptote: (0, 0) and (2, -6). We can find its expression using the two-point form of a line.
y - y₁ = (y₂-y₁/x₂-x₁) (x - x₁)
y - 0 = (-6-0/2-0) (x - 0)
y = -3x
(a) The domain of the function is (-∞; 0) U (0; +∞) and the range is (-∞; +∞).
(b) There are 2 x-intercepts: (-2, 0) and (2, 0). There is no y-intercept.
(c) This function does not have horizontal asymptotes.
(d) The vertical asymptote is x = 0.
(e) The oblique asymptote is y = -3x.
Learn more about asymptotes here: https://brainly.com/question/4930698
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Step-by-step explanation:
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Hi there!
We're given a right triangle (notice the 90 degree angle), the measure of one of the legs (one of the sides that make up the right angle) as 46, the other one as y, and one of the angles as 26°
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We can use a trigonometric ratio to do that.
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Sine is [tex]\frac{opposite}{hypotenuse}[/tex]
Cosine is [tex]\frac{adjacent}{hypotenuse}[/tex]
Tangent is [tex]\frac{opposite}{adjacent}[/tex]
Since we are given one of the angles, let's find out which sides are the opposite, adjacent, and hypotenuse, in reference to the given angle (the 26° angle)
In reference to that angle, the side opposite to that angle (also the side known as "opposite) is the side marked as 46, the adjacent side is y, and the hypotenuse is the unmarked side
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tan(26)*y=46
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y=[tex]\frac{46}{tan(26)}[/tex]
Plug [tex]\frac{46}{tan(26)}[/tex] into your calculator, and remember to have the calculator on degree mode
[tex]\frac{46}{tan(26)}[/tex]≈94.31
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Answer:
He started with 53 cards
Step-by-step explanation:
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Credits: Hello! I'm from the Philippines! Mabuhay!!
Hey there!
6a + 4(3)
= 6(2) + 4(3)
= 12 + 12
= 12
Therefore, your answer is: 12
Good luck on your assignment and enjoy your day’
~Amphitrite1040:)
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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