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skad [1K]
3 years ago
14

The table shows three unique functions.

Mathematics
1 answer:
Dovator [93]3 years ago
5 0

Answer:

<h2>All three functions have a y-intercept.</h2>

Step-by-step explanation:

The table is attached, there you can observe functions f(x), g(x) and h(x).

Remember, when x = 0, it represents a y-intercept. So, we can deduct that all three functions have y-intercept, (0,1) for f(x), (0, -1/2) for g(x) and (0,-5) for h(x).

Also, x-values represent domain values, however, in this case, we can't say that all three function have the same domain values, because we don't know the domain defintion for each of them to determine such thing.

Additionally, in the table you can observe that f(x) has the greatest maxium, so the second choice is also false. And neither function has x-intercept.

Therefore, the only right answer is the third choice.

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sertanlavr [38]

Answer:

Multiply the coordinates of point P by the scale factor 7/4  to get the coordinates of P'.

Given : P(-5,3)

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Step-by-step explanation:

8 0
3 years ago
The graph below could be the graph of which exponential function?
IgorLugansk [536]
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2 years ago
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drek231 [11]

Answer:

A

Step-by-step explanation:

y = (-2/5)x + 1

By inspection of the equation, the slope of the line is -2/5 and the y-intercept is 1.

Therefore, we can immediately discount option B and D, as their y-intercepts are NOT 1.

Find the point where the line crosses the x-axis by setting the equation to 0 and solving for x:

0 = (-2/5)x + 1

⇒ -1 = (-2/5)x

⇒ -5 = -2x

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Therefore, the line of the function intersects the x-axis at x = 5/2 = 2.5

From inspection of the graphs, the line in option A intersects the x-axis at 2.5.  Therefore, this is the correct graph.

3 0
1 year ago
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Step-by-step explanation:

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x1 is 5, x2 is 1, y1 is 9, y2 is 6

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D = √(-4)²+(-3)²

D = √16+9

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D = 5 units

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