1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
labwork [276]
3 years ago
5

Help me find the range of this function please

Mathematics
1 answer:
lara31 [8.8K]3 years ago
8 0

Answer:

{-2, -14, -26, -50}

Step-by-step explanation:

The range of the function is the function evaluated at each point of the given domain. So to find the range of the function we need to find the value of the function for each point in the domain:

- For x = -8

f(x)=-2x-18

f(-8)=-2(-8)-18

f(-8)=16-18

f(-8)=-2

The first value of the range of the function is -2

- For x = -2

f(x)=-2x-18

f(-2)=-2(-2)-18

f(-2)=4-18

f(-2)=-14

The second value of the range is -14

- For x = 4

f(x)=-2x-18

f(4)=-2(4)-18

f(4)=-8-18

f(4)=-26

Th third values of the range is -26

- For x = 16

f(x)=-2x-18

f(16)=-2(16)-18

f(16)=-32-18

f(16)=-50

The fourth and last value of the range is -50

Now we can put all the values of the range together

The range of the function is {-2, -14, -26, -50}

You might be interested in
A devastating freeze in California's Central Valley in January 2007 wiped out approximately 75% of the state's citrus crop. It t
solniwko [45]

The relationship between the percentage of frozen citrus crop, and the cost of box of oranges is an illustration of a linear function.

  • <em>The linear equation of the function is: </em>g(P) = 22.9P+7<em>.</em>
  • <em>The inverse function is: </em>g^{-1}(c) = \frac{1}{22.9}(c - 7)<em> .</em>
  • <em>A practical domain is from 0% to 100%</em>
  • <em>A practical range is from 7 to 29.9 </em>

<u>A. Input quantity</u>

The input quantity is the percentage of frozen citrus crop

<u />

<u>B. Output quantity </u>

The output quantity is the cost of box of oranges

<u>C. The linear function</u>

We have:

(P_1,c_1) = (20\%,11.58)\\(P_2,c_2) = (80\%,25.32)

<em>Calculate the slope of the function</em>

m = \frac{c_2 - c_1}{P_2 - P_1}

m = \frac{25.32 - 11.58}{80\%-20\%}

m = \frac{13.74}{60\%}

m = 22.9

<em>The linear equation is calculated as follows:</em>

c -c_1 = m(P-P_1)

c -11.58= 22.9(P-20\%)

c-11.58 = 22.9P-4.58

<u>D. Rewrite as y = mx + b</u>

We have:

c-11.58 = 22.9P-4.58

Collect like terms

c = 22.9P - 4.58 + 11.58

c = 22.9P+7

<em>The function is:</em>

g(P) = 22.9P+7

<u>E. A practical domain</u>

The domain is the possible values of P.  Because P is a percentage, its possible values are 0% to 100%.

The domain of the function is: [0\%,100\%]

<u>F. A practical range</u>

When P = 0%

c = 22.9 \times 0\% + 7 = 7

When P = 100%

c = 22.9 \times 100\% + 7 = 29.9

Hence, the range of the function is: [7,29.9]

G. The meaning of g^{-1}(12)

The inverse function of g(P) is g^{-1}(P)

So:

g^{-1}(12) is the percentage of frozen citrus crop, when the cost is $12.

<u>H. The inverse formula</u>

We have:

c = 22.9P+7

Subtract 7 from both sides

c - 7 = 22.9P

Make P the subject

P = \frac{1}{22.9}(c - 7)

So, the inverse formula is:

g^{-1}(c) = \frac{1}{22.9}(c - 7)

Substitute 12 for c

g^{-1}(12) = \frac{1}{22.9}(12 - 7)

g^{-1}(12) = \frac{1}{22.9} \times 5

g^{-1}(12) = 22\%

Read more about linear equations at:

brainly.com/question/19770987

6 0
2 years ago
A miniature quadcopter is located at xi = −1.75 m and yi = −5.70 m at t = 0 and moves with an average velocity having components
Black_prince [1.1K]

The quadcopter's average velocity is given in terms of change in position by

\vec v_{\rm av}=\dfrac{\Delta x}{\Delta t}\,\vec\imath+\dfrac{\Delta y}{\Delta t}\,\vec\jmath

where \Delta x=x_f-x_i, the difference in the quadcopter's final and initial positions and \Delta t=(1.60-0)\,\mathrm s=1.60\,\mathrm s.

The x-component of the average velocity is 2.70 m/s, so

2.70\dfrac{\rm m}{\rm s}=\dfrac{x_f-(-1.75\,\mathrm m)}{1.60\,\rm s}\implies \boxed{x_f=2.57\,\mathrm m}

and the y-component is -2.50 m/s, so

-2.50\dfrac{\rm m}{\rm s}=\dfrac{y_f-(-5.70\,\mathrm m)}{1.60\,\rm s}\implies\boxed{y_f=-9.70\,\mathrm m}

4 0
2 years ago
Is it a function or not a function
BigorU [14]

Answer:

This is NOT a function. Because if you used the vertical line test it would hit that line 2 times.

Step-by-step explanation:

6 0
3 years ago
Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0 = 2x2 + 3x – 8? Quadratic formula: x
OleMash [197]

ANSWER



x=1.39 to the nearest hundredth.



EXPLANATION



We have the equation,



0=2x^2+3x-8



Which can be rewritten as



2x^2+3x-8=0

The question demands the use of the quadratic formula.

Comparing this to the general quadratic equation;

ax^2+bx+c=0


a=2,b=3,c=-8


The quadratic formula is given by;


x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}


We now substitute all the values in to the formula;


x=\frac{-3\pm\sqrt{(3)^2-4(2)(-8)}}{2(2)}

We simplify to obtain;

x=\frac{-3\pm\sqrt{9+64}}{4}


x=\frac{-3\pm\sqrt{73}}{4}


We now split the plus or minus sign to obtain;


x=\frac{-3-\sqrt{73}}{4}


This implies that;


x=-2.89

Or

x=\frac{-3+\sqrt{73}}{4}


This will evaluate to;


x=1.39

Hence, the positive solution rounded to the nearest hundredth is

x \approx 1.39

6 0
3 years ago
Read 3 more answers
How do you wright 19,266,420 using words
Gemiola [76]
Nineteen million, two hundred sixty-six thousand, four hundred twenty! :)
8 0
3 years ago
Read 2 more answers
Other questions:
  • A jet plane flying at an altitude of 8000 meters drops 600 meters. Show calculator Select the best answer What is the new altitu
    12·1 answer
  • Geometry math question
    15·1 answer
  • The following list shows the number of video games sold per day at a video store.
    6·1 answer
  • What is the range of f(x)=3^x+9
    7·1 answer
  • There are 32 people who voted for Petra for class president.This represents 1/2 of the people who voted. How many people voted i
    5·2 answers
  • Sofia raised $140 for charity. Her mom gave her some money to get started, and her friends donated the rest of the money Dominic
    9·1 answer
  • Please help will give lots of points and mark brainless
    10·1 answer
  • Here are some questions, i have helped many of you and i will give 20 points for helping me :) doing all the questions would be
    5·1 answer
  • A family spends 1/10 of it's annual income for housing 1/4 for food and clothing 1/5 for general expenses and 2/15 for entertain
    15·1 answer
  • Determine the measure of the interior angle at vertex C
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!