Calculate x-intercept for f(x)

  • Thread starter rollcast
  • Start date
In summary, the x-axis intercept for the function f(x) = 0.02605x-0.01908 is approximately 0.732 to 3 significant figures.
  • #1
rollcast
408
0

Homework Statement


f(x) =0.02605x-0.01908

Calculate the x-axis intercept for the function above.


Homework Equations


f(x) =0.02605x-0.01908


The Attempt at a Solution



0 = 0.02605x - 0.01908
0.02605x = 0.01908
x = 0.732 (3 s.f.)
 
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  • #2
rollcast said:

Homework Statement


f(x) =0.02605x-0.01908

Calculate the x-axis intercept for the function above.


Homework Equations


f(x) =0.02605x-0.01908


The Attempt at a Solution



0 = 0.02605x - 0.01908
0.02605x = 0.01908
x = 0.732 (3 s.f.)

What's your question?
 
  • #3
looks right, I got 0.7324 to 4 sig figures

Just check it by plugging in it into thee original eqn to verify that f(x) is zero.
 
  • #4
Mark44 said:
What's your question?

I'm trying to calculate the x - intercept of the line, f(x) =0.02605x-0.01908.
 
  • #5
rollcast said:
I'm trying to calculate the x - intercept of the line, f(x) =0.02605x-0.01908.
I can see that you did that, but what is your question?
 
  • #6
Mark44 said:
I can see that you did that, but what is your question?

I wanted to see if my result was correct as I'm not familiar with the f(x) = ... notation.
 
  • #7
jedishrfu said:
looks right, I got 0.7324 to 4 sig figures

Just check it by plugging in it into thee original eqn to verify that f(x) is zero.

f(0.7324) won't work out to be exactly zero, because of the rounding.
 

FAQ: Calculate x-intercept for f(x)

What is the meaning of an x-intercept?

An x-intercept is the point at which a graph or line intersects the x-axis. It represents the value of x when the function or equation is equal to zero.

How do you calculate the x-intercept for a given function?

To calculate the x-intercept for a function, set the function or equation equal to zero and solve for x. This will give you the x-coordinate of the intercept.

Can a function have more than one x-intercept?

Yes, a function can have multiple x-intercepts if the graph or equation crosses the x-axis at multiple points. These points will each have their own x-coordinate for the x-intercept.

What does the x-intercept tell us about a function?

The x-intercept can tell us the value of x when the function is equal to zero, which can be useful in solving equations and understanding the behavior of the function. It can also give us information about the roots or solutions of the function.

Is it possible for a function to not have an x-intercept?

Yes, it is possible for a function to not have an x-intercept. This can occur when the graph or equation does not intersect the x-axis, or when the function is undefined at all points on the x-axis.

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