How do you graph the function and its inverse of #f(x)=(x3)^2+1#?
Maximum turning point at (3,1) and yintercept at (0,8)
Looking at f(x), for our input x, we go:
So any x values above 1 aren't plotted.
So we have no xintercepts.
Now we draw our graph, starting at (1,3) and passing through (4,0)
graph{sqrt((x1))+3 [13.875, 8.625, 0.995, 10.255]}
By signing up, you agree to our Terms of Service and Privacy Policy
To graph the function ( f(x) = (x  3)^2 + 1 ) and its inverse, follow these steps:

Plot points for the function:
 Choose several xvalues.
 Calculate the corresponding yvalues using the function equation.
 Plot these points on the graph.

Draw the graph of the function by connecting the plotted points smoothly.

To find the inverse of the function:
 Replace ( f(x) ) with ( y ).
 Interchange ( x ) and ( y ).
 Solve for ( y ) to express ( y ) in terms of ( x ).

Plot points for the inverse function using the same method as for the original function.

Draw the graph of the inverse function by connecting the plotted points smoothly.
Ensure that both graphs are accurately labeled and clearly distinguishable from each other on the coordinate plane.
Keep in mind that the inverse of a function reflects across the line ( y = x ).
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
 Is the function #(2x)^(1/3)# even, odd or neither?
 How do you find the Vertical, Horizontal, and Oblique Asymptote given #(x^3+4)/(2x^2+x1)#?
 If #f(x)=x^2x#, how do you find #f(2x)#?
 How do you find the vertical, horizontal or slant asymptotes for #(x7)/(3x^2+17x6 )#?
 How do you find vertical, horizontal and oblique asymptotes for #G(x)=(3*x^4 +4)/(x^3+3*x)#?
 98% accuracy study help
 Covers math, physics, chemistry, biology, and more
 Stepbystep, indepth guides
 Readily available 24/7