Checking if a table represents a function (video) | Khan Academy (2024)

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  • Kiara

    10 years agoPosted 10 years ago. Direct link to Kiara's post “If there is the same outp...”

    If there is the same output for two different inputs, then is it still a function?

    (17 votes)

    • Just Keith

      10 years agoPosted 10 years ago. Direct link to Just Keith's post “Yes, that qualifies. As ...”

      Checking if a table represents a function (video) | Khan Academy (4)

      Yes, that qualifies. As long as each input yields only one output. It makes no difference whether the output is unique.

      (13 votes)

  • Chanda Jones

    5 years agoPosted 5 years ago. Direct link to Chanda Jones's post “so, I'm learning function...”

    so, I'm learning functions in my high school algebra 1 class, and i'm still a bit confused. Can you explain how to solve a function?

    (4 votes)

    • HYENA

      5 years agoPosted 5 years ago. Direct link to HYENA's post “To solve a function, you ...”

      To solve a function, you need to understand the mechanism. A function is like a microwave, you put something in it, and something will come out. So, an input and an output. For example f(x) = x + 1, given x is 7. You would insert 7 into the equation, f(7) = 7 + 1, which is 8. So the input is 7, resulting in an output of 8. Also, the f(x) part does not mean mulitplication, it is a format used for functions. Good luck!

      (7 votes)

  • lia

    8 years agoPosted 8 years ago. Direct link to lia's post “can a swiggly line be a f...”

    can a swiggly line be a function

    (5 votes)

    • Benjamin

      8 years agoPosted 8 years ago. Direct link to Benjamin's post “Yes, but only if it doesn...”

      Yes, but only if it doesn't have the same x-value twice

      (5 votes)

  • gavin carmichael

    9 years agoPosted 9 years ago. Direct link to gavin carmichael's post “i dont get this pleas hel...”

    i dont get this pleas help

    (2 votes)

    • aboomd

      9 years agoPosted 9 years ago. Direct link to aboomd's post “if x corresponds to 2 y v...”

      if x corresponds to 2 y values it is not a function . if x corresponds to 1 y value then it is a function

      (8 votes)

  • Hanalei Ezz

    9 years agoPosted 9 years ago. Direct link to Hanalei Ezz's post “Hi! I'm having a lot of t...”

    Hi! I'm having a lot of trouble with a specific question regarding functions, but I'm not sure where to post it.. the question is, if f(x) |-> ax^2 + bx + c, and {x: 3, 1, -2} and {y: 32, 6, -3} then what are the values of a, b and c? So far I have done this using the quadratic formula as well as by using simultaneous equations. Does anyone else have a better idea on how to do it?

    (3 votes)

    • Thomas B

      9 years agoPosted 9 years ago. Direct link to Thomas B's post “Write 3 equations by plug...”

      Write 3 equations by plugging in each x and y:
      9a + 3b + c = 32
      a + b + c = 6
      4a - 2b +c = -3

      At this point is is just a straight solve of 3 linear equations with 3 unknowns, so just use your preferred technique to solve for a, b, and c.

      (3 votes)

  • Vaanya

    4 years agoPosted 4 years ago. Direct link to Vaanya's post “What if we had a table an...”

    What if we had a table and a point repeated? For example, *(1,1)* and then, it is *(1,1)* again. Would that be a function or not?

    (3 votes)

    • masterchristianlove

      3 years agoPosted 3 years ago. Direct link to masterchristianlove's post “yes it would still be a f...”

      yes it would still be a function because if you input 1 and get only 1 then it is considered a function

      (3 votes)

  • Krzysztof Wrobel

    10 years agoPosted 10 years ago. Direct link to Krzysztof Wrobel's post “Is not a function continu...”

    Is not a function continuous ?
    Isnt't is a series ?

    (3 votes)

    • masterchristianlove

      3 years agoPosted 3 years ago. Direct link to masterchristianlove's post “I dont know how to awnsor...”

      I dont know how to awnsore this for you but what I can tell you is that it does not go on forever

      (3 votes)

  • kirsche23

    7 years agoPosted 7 years ago. Direct link to kirsche23's post “but what if you have like...”

    but what if you have like, 1,1 and 1,2. what do you do? i'm confused at

    Checking if a table represents a function (video) | Khan Academy (24) 0:15

    . what do you do?

    (3 votes)

    • masterchristianlove

      3 years agoPosted 3 years ago. Direct link to masterchristianlove's post “hello unknown person I w...”

      hello unknown person
      I will tell you that you cant do anything because the relation is not a function so if you have (1,1) and (1,2) it is then considered not a function
      hope this helps
      the master

      (3 votes)

  • JordanLenox

    6 years agoPosted 6 years ago. Direct link to JordanLenox's post “How do I work a table tha...”

    How do I work a table that has variables in place of the x-values?

    (3 votes)

  • holo

    9 months agoPosted 9 months ago. Direct link to holo's post “can different inputs have...”

    can different inputs have the same output??

    (1 vote)

    • 🅹🅾🅷🅽🅽🆈

      9 months agoPosted 9 months ago. Direct link to 🅹🅾🅷🅽🅽🆈's post “Sometimes yes. For exampl...”

      Sometimes yes. For example, consider y=0x. If x = 1, y = 0. If x = 2, y is still 0.

      (5 votes)

Checking if a table represents a function (video) | Khan Academy (2024)

FAQs

How do I know if a table represents a function? ›

A function describes the relationship between an input variable (x) and an output variable (y). A table provides a list of x values and their y values. A table is a function if a given x value has only one y value. Multiple x values can have the same y value, but a given x value can only have one specific y value.

Is Khan Academy reliable? ›

Nonprofit organization Khan Academy makes its online courses free for all. It focuses primarily on content for students in the US schools, but it's a reliable source for anyone with a hunger to learn. PCMag editors select and review products independently.

How do you read a function table? ›

When working with functions given as tables, we read input and output values from the table entries and always work from the inside to the outside. We evaluate the inside function first and then use the output of the inside function as the input to the outside function.

How do you know if it represents a function? ›

A function is a special type of relation where each x value is related to only one y value. To identify a function from a relation, check to see if any of the x values are repeated - if not, it is a function.

What is the rule of a function table? ›

A function is a rule that takes a number, modifies it, and returns an output. Each pair of numbers in the table is related by the same function rule. That rule is: multiply each input number (x-value) by 3 to find each output number (y-value). You can use a rule like this to find other values for this function, too.

How can you tell if a number is a function or not? ›

Identify the output values. If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.

How to determine whether the equation or table defines as a function of? ›

A function will only have one or zero outputs for any input. If there is more than one output for a particular input, the equation does not define a function. This equation defines as a function of since any input only has one output.

Is IXL better than Khan Academy? ›

IXL has a strong focus on math and language arts, while Khan Academy offers a wider range of subjects. Consider your learning style: If your child is a visual learner, then you may prefer Khan Academy's videos and articles. If your child is an auditory learner, then you may prefer IXL's games and quizzes.

What are the weaknesses of Khan Academy? ›

One of the main issues with Khan Academy is that it does not provide an adequate learning experience for students. The videos are cookie-cutter, impersonal, and lack any sort of teacher interaction. While the videos do provide an explanation of content, this is far from the whole teaching experience.

What's better than Khan Academy? ›

Alternatives to Khan Academy include Coursera, Codecademy, Udemy tutoring, etc. Overall comparison of features leads to the answer that Coursera is the best Khan Academy alternative in 2024 for you to try. It has a vast variety of technical and non technical courses available.

How do you know when a table represents a function? ›

Identify the input and output values. Check to see if each input value is paired with only one output value. If so, the table represents a function.

Which function grows the fastest? ›

An exponential function grows at a faster rate than a power function. Growth rates of a power function and an exponential function. Thus, x2 x 2 grows more rapidly than lnx ln ⁡ x as x→∞ x → ∞ (see Figure 4 and the table below).

What are three rules for defining a function? ›

A function has three parts, a set of inputs, a set of outputs, and a rule that relates the elements of the set of inputs to the elements of the set of outputs in such a way that each input is assigned exactly one output.

How to determine type of function from table? ›

For a linear function, the table will show a common first difference. For a quadratic function, the table will show a common second difference. For a cubic function, the table will show a common third difference. For an exponential function, the table will show a common ratio.

How do you know if a set represents a function? ›

To check to see if a set of ordered pairs or a list represented by a table is a function or not, check to make sure that each input value is paired with only one output value. To check to see if a graph represents a function, use the vertical line test.

Does this table represent a function why or why not xy 2 1 3 4 4 4 5 2 5 5? ›

No, because one x-value corresponds to two different y-values.

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