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A horizontal line meets the graph of the...

A horizontal line meets the graph of the function y=f(x) in two points is f one one?

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To determine if the function \( f(x) \) is one-one (injective), we can use the horizontal line test. Here’s the step-by-step solution: ### Step 1: Understand the Horizontal Line Test The horizontal line test states that if any horizontal line intersects the graph of a function more than once, then the function is not one-one. ### Step 2: Visualize the Function Imagine the graph of the function \( y = f(x) \). For this problem, we assume that a horizontal line intersects this graph at two distinct points. ...
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MAHAVEER PUBLICATION-FUNCTION-QUESTION BANK
  1. Show that the function f:RrarrR defined by f(x)=x^(2) is neither one-o...

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  2. If R denotes the set of all real numbers, then the function f : R to R...

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  3. A horizontal line meets the graph of the function y=f(x) in two points...

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  4. If t(C)=(9C)/5+32 write the value of t(28)

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  5. Find the range of the function f(x)=[x],1lexlt3

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  6. Find the total number of function from a set A to B where n(A)=3 and n...

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  7. Find the period of the function f(x)=sin5x

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  8. If (x+y,x-y)=(1,2) find x and y

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  9. Find the domain and range of the following relation R={(1,3),(1,5),(1,...

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  10. Find the domain and range of the following relation R={(x,y):x in N ,x...

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  11. Find the domain and range of the following relation R={(x+2,x+4):x in ...

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  12. which of the following relations are functions from A={1,3,5,7,9} to B...

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  13. which of the following relations are functions from A={1,3,5,7,9} to B...

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  14. If f:RrarrR defined by f(x)=x^(2)-2x+3, then find f(f(x)).

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  15. Find the domain and range of the following f(x)=1/(2x-1)

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  16. Find the domain and range of the following f(x)=3/(2-x^2)

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  17. Find the domain and range of the following f(x)=1+3cos2x

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  18. Find the domain and range of the following f(x)=1/(x^2-1)

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  19. Find the domain and range of the following f(x)=1/sqrt(1-cosx)

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  20. Which of the following functions are even and which odd? f(x)=x^4+x^2

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