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IgorLugansk [536]
2 years ago
6

1. Using the graph of the function f(x) shown below, answer the following questions.

Mathematics
1 answer:
Sphinxa [80]2 years ago
7 0

Graphs can be used to represent functions, and vice verse

  • The values of f(-7), f(0), f(4) and f(9) are -6, 3, 1 and -4, respectively.
  • f(x) = 5 illustrate three values of x
  • The y-intercept is 3
  • The maximum and the minimum values of the graph are 5.5 and 6
  • The graph passes the vertical line test.

<u>(a) The values of f(-7), f(0), f(4) and f(9)</u>

  • At x = -7, the corresponding value of the function is -6.
  • At x = 0, the corresponding value of the function is 3.
  • At x = 4, the corresponding value of the function is 1
  • At x = 9, the corresponding value of the function is -4

Hence, the values of f(-7), f(0), f(4) and f(9) are -6, 3, 1 and -4, respectively.

<u>(b) The number of values of the x at f(x) = 5</u>

At f(x) =5, the values of x are -10, 1 and 3.

Hence, f(x) = 5 illustrate three values of x

<u>(c) The y-intercept</u>

This is the point where the graph crosses the y-axis, i.e. when x = 0.

Hence, the y-intercept is 3

<u>(d) The maximum and the minimum values of the graph</u>

The highest point on the graph is (2.5,5.5), while the least point is (-7,-6)

Hence, the maximum and the minimum values of the graph are 5.5 and 6, respectively.

<u>(e) Why the graph represents a function</u>

It represents a function because it passes the vertical line test.

This in other words means that, each x value has exactly one y value

Read more about functions and graphs at:

brainly.com/question/18806107

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rjkz [21]
28/7=4
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4/5
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3 years ago
The price of an item selling at 150% of its $63 value is
Triss [41]
You just have to multiply the percentage by the amount:
(150/100)×$63 
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If you aren't allowed a calculator, then just find half of $63 (the 0.5 of the fraction) and add it to $63 (the 1. of the fraction).
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8 0
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Please answer this question!!
n200080 [17]
B. 273.18  is the correct answer I think.

6 0
3 years ago
Sushil is 6 years older than Brian. Caroline is 5 years younger than Brian. If the total of their ages is 64, how old is the you
Nadusha1986 [10]

Answer:

16 years old

Step-by-step explanation:

Let's use the letters s, b, and c for Sushil, Brian, and Caroline's ages. Sushil is the oldest, followed by Brian, and then Caroline, the youngest. From the problem description, we can set up three equations:

s = b + 6 <em>(Sushil is 6 years older than Brian)</em>

c = b - 5 <em>(Caroline is 5 years younger than Brian)</em>

s + b + c = 64 <em>(The total of their ages is 64)</em>

Since s and c are already in terms of b, we can substitute them into the last equation and solve to find Brian's age:

(b + 6) + b + (b - 5) = 64

3b + 1 = 64

3b = 63

b = 21

Now that we know Brian's age, we can simply subtract 5 to find Caroline's:

c = b - 5 = 21 - 5 = 16 years old.

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3 years ago
Of the following points, name all that lie on the same horizontal line?
ArbitrLikvidat [17]
I just graphed all 4 and didn’t see where any are on the same horizontal line. I might be missing something.
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