Mathematics, 06.07.2019 10:10 raymondanthony3314

Asa
match each graph with the logarithmic function it represents.

Asa match each graph with the logarithmic function it represents.

Answers: 2

Show answers

Answers

Answer from: cristinamiu8169

f(x)=3-4 In (x-2)=graph 3

f(x)=3-In x=graph 1

f(x)=In (x+1)=graph 4

f(x)= 2In (x+3)= graph 2

Step-by-step explanation:

Use a graph tool to visualize the functions.Attached are the graphed functions respectively.

Asa match each graph with the logarithmic function it represents.

Answer from: lenaeeee

f(x) = 3 - 4㏑(x - 2) ⇒ graph 3

f(x) = 3 - ㏑(x) ⇒ graph 1

f(x) = ㏑(x + 1) ⇒ graph 4

f(x) = 2㏑(x + 3) ⇒ graph 2

Step-by-step explanation:

* Lets look to the graphs and solve the problem

- We will use some points on each graph and substitute in the function

to find the graph of each function

- Remember: ㏑(1) = 0 and ㏑(0) is undefined

- Lets solve the problem

# f(x) = 3 - 4㏑(x - 2)

- Let x - 2 = 1 because ㏑(1) = 0, then f(x) will equal 3

∵ x - 2 = 1 ⇒ add 2 for both sides

∴ x = 3

- Substitute the value of x in f(x)

∴ f(x) = 3 - 4㏑(3 - 2)

∴ f(x) = 3 - 4㏑(1) ⇒ ㏑(1) = 0

∴ f(x) = 3

∴ Point (3 , 3) lies on the graph

- Look to the graphs and find which one has point (3 , 3)

∵ Graph 3 has the point (3 , 3)

∴ f(x) = 3 - 4㏑(x - 2) ⇒ graph 3

# f(x) = 3 - ㏑(x)

- Let x = 1 because ㏑(1) = 0, then f(x) will equal 3

- Substitute the value of x in f(x)

∴ f(x) = 3 - ㏑(1) ⇒ ㏑(1) = 0

∴ f(x) = 3

∴ Point (1 , 3) lies on the graph

- Look to the graphs and find which one has point (1 , 3)

∵ Graph 1 has the point (1 , 3)

∴ f(x) = 3 - ㏑(x) ⇒ graph 1

# f(x) = ㏑(x + 1)

- Let x = 0 because ㏑(1) = 0, then f(x) will equal 0

- Substitute the value of x in f(x)

∴ f(x) = ㏑(0 + 1) = ㏑(1) ⇒ ㏑(1) = 0

∴ f(x) = 0

∴ Point (0 , 0) lies on the graph

- Look to the graphs and find which one has point (0 , 0)

∵ Graph 4 has the point (0 , 0)

∴ f(x) = ㏑(x + 1) ⇒ graph 4

# f(x) = 2㏑(x + 3)

- Let x + 3 = 1 because ㏑(1) = 0, then f(x) will equal 0

∵ x + 3 = 1 ⇒ subtract 3 from both sides

∴ x = -2

- Substitute the value of x in f(x)

∴ f(x) = 2㏑(-2 + 3) = 2㏑(1) ⇒ ㏑(1) = 0

∴ f(x) = 0

∴ Point (-2 , 0) lies on the graph

- Look to the graphs and find which one has point (-2 , 0)

∵ Graph 2 has the point (-2 , 0)

∴ f(x) = 2㏑(x + 3) ⇒ graph 2

Answer from: Quest

$7 {}^{6} 7 {}^{3} =$

Answer from: Quest

b and c

step-by-step explanation:

Other questions on the subject: Mathematics

Mathematics, 20.06.2019 18:04, andrewisboss59

In triangle △abc, ∠abc=90°, bh is an altitude. find the missing lengths. ab=9, and ac=12, find hc.

Answers: 3

continue

Mathematics, 21.06.2019 14:10, kyrabrown33

Line cd passes through points c(1, 3) and d(4, –3). if the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b? –5 –2 1 5

Answers: 2

continue

Mathematics, 21.06.2019 18:00, cici170

Each month, a shopkeeper spends 5x + 14 dollars on rent and electricity. if he spends 3x−5 dollars on rent, how much does he spend on electricity? for which value(s) of x is the amount the shopkeeper spends on electricity less than $100? explain how you found the value(s).

Answers: 2

continue

Mathematics, 21.06.2019 19:30, fantasticratz2

Nikolas calculated the volume of the prism. his work is shown below.

Answers: 1

continue

You know the right answer?

Asa
match each graph with the logarithmic function it represents.
...