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ella [17]
4 years ago
14

Find the range f(x)=2x-3 for the domain {-1, 0, 4, 7}

Mathematics
1 answer:
Yakvenalex [24]4 years ago
5 0

Answer:

The set of output values are (1,3,11,17) as Range

Step-by-step explanation:

Given function is f(x)=2x-3 and domain  is (-1,0,4,7)

Function is given that taking set of input values from domain and give out set of output values.

For x=(-1)

f(x)=2x-3

f(-1)=2(-1)+3=(-2)+3=1

For x=0

f(x)=2x-3

f(0)=2(0)+3=3

For x=4

f(x)=2x-3

f(4)=2(4)+3=-8+3=11

For x=7

f(x)=2x-3

f(7)=2(7)+3=14+3=17

Thus,

The set of output values are (1,3,11,17) as Range

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what is the rate of change for the linear relationship modeled in the table? x y −1 10 1 9 3 8 5 7 -1/2 0 1/2 2
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Answer:

Rate of change for the linear relationship modeled is \dfrac{-1}{2}

Step-by-step explanation:

As the there is a linear relationship in the points, so all these points will be on a single straight line. Hence the slope will be same throughout all the points.

We know that, the slope of the line joining (x₁, y₁) and (x₂, y₂) is,

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Putting the points as (-1, 10) and (1, 9), we get

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Rate of change is the slope of the line joining all these points.

7 0
3 years ago
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HELP ASAP solve the equation using the properties of equality.<br><br><br>89= -5d+9
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Answer:

d = -16

Step-by-step explanation:

Step 1: Write equation

89 = -5d + 9

Step 2: Solve for <em>d</em>

<u>Subtract 9 on both sides:</u> 80 = -5d

<u>Divide both sides by -5:</u> -16 = d

Step 3: Check

<em>Plug in x to verify if it's a solution.</em>

89 = -5(-16) + 9

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