Question

f(x)=2x^ -2x true or false the x intercepts of the graph are (0,0) and (1,0)

Answer 1

To find the x-intercepts of the function \( f(x) = 2x - 2 \), we need to set the equation equal to zero and solve for \( x \):

\[
2x - 2 = 0
\]

Adding 2 to both sides gives:

\[
2x = 2
\]

Dividing both sides by 2 yields:

\[
x = 1
\]

This means the function has an x-intercept at \( (1, 0) \).

Now, let's evaluate whether there is an x-intercept at \( (0, 0) \):

\[
f(0) = 2(0) - 2 = -2
\]

Since \( f(0) \) is not equal to 0, there is no x-intercept at \( (0, 0) \).

Thus, the claim that the x-intercepts of the graph are \( (0, 0) \) and \( (1, 0) \) is **false**. The only x-intercept is \( (1, 0) \).