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ololo11 [35]
3 years ago
8

Several polynomial functions are graphed. Which graph displays a polynomial function with all even exponents?

Mathematics
2 answers:
BartSMP [9]3 years ago
7 0
A polynomial function with all even exponents is so-called even function.
Even functions are symmetric across the y-axis.
Answer:  Only one that is symmetric across the x-axis is the function C ).
Yanka [14]3 years ago
4 0

Answer:

B.

Step-by-step explanation:

The correct answer is B. A power function with odd exponents will have origin symmetry.

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8 0
3 years ago
Give the property that justifies each step.
hjlf

Answer:

Please check the explanation below.

Step-by-step explanation:

Some of the properties are defined as:

  • <em>Distributive property</em>

a(b+c) = ab+ac

For example,

suppose a=1, b=2, c=3

1(2+3) = 1(2) + 1(3)

5 = 2+3 = 5

  • <em>Subtraction property of Equality</em>

if (a=b), then a-c = b-c

For example,

suppose a=1, b=1, c=3

if a = b ⇒ 1 = 1

then a-c = b-c ⇒ 1-3 = 1 - 3  ⇒ -2 = -2

  • <em>Addition property of Equality</em>

if (a=b), then a+c = b+c

For example,

suppose a=1, b=1, c=3

if a = b ⇒ 1 = 1

then a+c = b+c ⇒ 1+3 = 1+3  ⇒ 4 = 4

  • <em>Multiplicative property of Equality</em>

if (a=b), then a×c = b×c

For example,

suppose a=1, b=1, c=3

if a = b ⇒ 1 = 1

then a×c = b×c ⇒ 1×3 = 1 × 3  ⇒ 3 = 3

  • <em>Division property of Equality</em>

if (a=b), then a÷c = b÷c

For example,

suppose a=1, b=1, c=3

if a = b ⇒ 1 = 1

then a÷c = b÷c ⇒ 1÷3 = 1 ÷ 3  ⇒ 1/3 = 1/3

Let's solve the given equation using the above properties.

5(x+10) = 20        Given

5x+50 = 20          1) Distriburive property ∵ a(b+c) = ab+ac

5x = -30               2) Subtraction property of Equality ∵ if (a=b), then a-c = b-c

x = -6                    3) Division property of Equality  ∵ if (a=b), then a÷c = b÷c

         

5 0
3 years ago
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