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cluponka [151]
3 years ago
15

Key Features of Graphs of Functions - Part 1

Mathematics
2 answers:
Vaselesa [24]3 years ago
6 0

Answer:

below

Step-by-step explanation:

Question 1:

In a function, every output value corresponds to exactly one input value.

The words that should be switched around are "output" and "input". This is because every input should have have only ONE output.

Question 2:

The following graph fails the vertical line test and is not a function. (YES)

Using the vertical line test to test whether the vertical line passes through the graphed function more then once. If it does, its not a function. If it doesn't, it is a function. Sadly, the vertical lines pass the point on two separate occasions which makes it not a function.

The vertical line shows gives the points (4, 2) and (4, -2).

Best of Luck!

dexar [7]3 years ago
5 0

Answer:

See below

Step-by-step explanation:

Q1.

  • In a function, every <u>output</u> value corresponds to exactly one <u>input </u>

value.

<em>The words to be interchanged are underlined. The function as per definition has exactly one output for each input.</em>

Q2.

Part A

  • Because it has 2 same input value for 2 different output values

Part B

  • The two points are (4, -2) and (4, 2)
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Which table describes the behavior of the graph of f(x) = 2x3 – 26x – 24?
In-s [12.5K]

Answer:

For x∈ {-∞,-3} y<0, below x-axis

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Step-by-step explanation:

f(x)=2x^{3}-26x-24

2x^{3}-26x-24=0

2x^{3}-26x-24=0\\2x^{3}-2x-24x-24=0\\2x(x^{2} -1)-24(x+1)=0\\2x(x+1)(x-1)-24(x+1)=0\\(x+1)(2x^{2} -2x-24)=0\\=> x+1=0 => x_{1}=-1\\

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For x∈ {-∞,-3} y<0, below x-axis

x∈ {-3,-1} y>0, above x-axis

x∈ {-1,4} y<0, below x-axis

x∈ {4,∞} y>0, above x-axis



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3 years ago
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