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## Which Function Has A Range Of {Y|Y ≤ 5}?

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## Question

Which function has a range of {y|y ≤ 5}? f(x) = (x – 4)2 + 5 f(x) = –(x – 4)2 + 5 f(x) = (x – 5)2 + 4 f(x) = –(x – 5)2 + 4

## Answer

Answer:The correct option is 2.Step-by-step explanation:The range of a parabola is {y|y ≤ 5}.It means the maximum value of the function is 5. It is possible if the vertex of a downward parabola is in the form of (h,5).The vertex form of a parabola isWhere, (h,k) is vertex and a is a constant.If a0, then f(x) is an upward parabola.In option 1,It is an upward parabola with vertex (4,5), therefore the range of the function is {y|y ≥ 5}. Option 1 is incorrect.In option 2,It is a downward parabola with vertex (4,5), therefore the range of the function is {y|y ≤ 5}. Option 2 is correct.In option 3,It is an upward parabola with vertex (5,4), therefore the range of the function is {y|y ≥ 4}. Option 3 is incorrect.In option 4,It is a downward parabola with vertex (5,4), therefore the range of the function is {y|y ≤ 4}. Option 4 is incorrect.

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Python range() function – GeeksforGeeks – range() is a built-in function of Python. It is used when a user needs to perform an action for a specific number of times. range() in Python(3.x) is just a renamed version of a function called xrange in Python(2.x). The range() function is used to generate a sequence of numbers.. range() is commonly used in for looping hence, knowledge of same is key aspect when dealing with any kind ofFind the Domain and Range y=3. The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. is a straight line perpendicular to the y-axis at point, which means that the range is a set of one value .Learn how you can find the range of any quadratic function from its vertex form. Google Classroom Facebook Twitter. Email. Determining the range of a function (Algebra 2 level) Domain and range of quadratic functions. Range of quadratic functions. This is the currently selected item.

Find the Domain and Range y=3 | Mathway – The function f has a domain of (0,5) and a range of (0, 3). Suppose the function g is defined as g(x) range of g. f(x) – 7. Determine the domain and Domain of g: (0,5) : Range of g: 1 – 7 – 4 Domain of g: 17,12 : Range of g: 0,3] Domain of g: [ – 7, – 2): Range of g: 1 – 7,- 4 Domain of g: 17,12): Range of g: 17, 10] Domain of g: 0,5): Range of g: 17, 10)To find the range of a quadratic function, it is sufficient to see if it has a maximum or minimum value. The maximum/minimum value of a quadratic function is the y-coordinate of its vertex. To find the domain of the rational function, set the denominator as 0 and solve for the variable .stop: The stop index decides the value at which the range function has to stop. It is a mandatory input to range function. The last value will be always 1 less than the stop value. step: (optional).The step value is the number by which the next number is range has to be incremented, by default, it is 1.

Range of quadratic functions (article) | Khan Academy – as a little bit of a review we know that if we have some function let's call it f we don't have to call it f but f is the letter most typically used for functions then if I give it an input a valid input if I give it a valid input and I use the variable X for that valid input it is going to map that to an output it is going to map that or produce given this X it's going to produce an output1. For a particular quadratic function, the leading coefficient is negative and the function has a turning point whose coordinates are (-3, 14). Which of the following must be the range of the quadratic? (1) {y|y≥−3} (2) {y|y≤14} (3) {y|y≤−3} (4) {y|y≥14} 2. Write the equation of the graph below in vertex form (1) y=2(x−3)2−5Question: The Function F Has A Domain Of [0, 5] And A Range Of [o, 3]. Start By Sketching A Potential Graph Of F. A. Suppose The Function G Is Defined As 9g)-f() +5. Determine The Domain And Range Of G. I. Domain: 105 Ii.