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solong [7]
3 years ago
8

If fis a function and x is an element in its domain, which statement is true about the graph of f?

Mathematics
1 answer:
Monica [59]3 years ago
8 0

The right choice here is

"The graph of f is the graph of the equation y = f(x)."

Horizontal and vertical axes of the Cartesian plane are conventionally labeled and referred to as "x" and "y", respectively. When we talk about the graph of f(x) in that context, we usually mean the graph of y = f(x). However, this convention may not be followed in all cases. There may be no "y" label on the graph at all, or the horizontal axis may be labeled something other than "x".

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Find a degree 4 polynomial having zeros -8,-1,4 and 5 and the coefficient of x^4 equal 1.
Keith_Richards [23]

Answer:

  x^4 -53x^2 +108x +160

Step-by-step explanation:

If <em>a</em> is a zero, then (<em>x-a</em>) is a factor. For the given zeros, the factors are ...

  p(x) = (x +8)(x +1)(x -4)(x -5)

Multiplying these out gives the polynomial in standard form.

  = (x^2 +9x +8)(x^2 -9x +20)

We note that these factors have a sum and difference with the same pair of values, x^2 and 9x. We can use the special form for the product of these to simplify our working out.

  = (x^2 +9x)(x^2 -9x) +20(x^2 +9x) +8(x^2 -9x) +8(20)

  = x^4 -81x^2 +20x^2 +180x +8x^2 -72x +160

  p(x) = x^4 -53x^2 +108x +160

_____

The graph shows this polynomial has the required zeros.

4 0
3 years ago
The summer solstice can occur on any day of the week with each day being equally likely. What is the probability the summer sols
chubhunter [2.5K]
Out of a single week it's 2/7. Out of a month it'd be 8/30 with only 30 days in a month. I hope this helps.
6 0
3 years ago
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AveGali [126]
1= -72 ( negative 72)
3 0
3 years ago
Which of the following cannot be used to state a postulate?
liubo4ka [24]
Among the four choices, theorems is the best possible answer. Postulate, by definition, is a statement that is assumed to be true without proof while theorems are true statements that can be proven. Both of these types of statements are used to justify geometrical equations, illustrations and statements.
6 0
3 years ago
Solve linear equation 1/4x+18=x
yanalaym [24]

Answer:

Solve it

Explain:

1

Combine multiplied terms into a single fraction

1

4

+

1

8

=

\frac{1}{4}x+18=x

41​x+18=x

1

4

+

1

8

=

3 0
3 years ago
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