3 years ago

What is the y-intercept of each graph? Explain.

1 answer:

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The y intercept of the left graph is 2 and the y intercept for the right graph is -0.5. These are the points where the line cross the y-axis (the vertical axis)

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Which statement best describes how to determine wether f(x)=x^3 +5x+1 is an even function

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Answer: second option.

Step-by-step explanation:

By definition, a function is even when:

$f(x) = f(-x)$

Then, knowing this, given the function $f(x)=x^3 +5x+1$ you can substitute $-x$ into this function:

$f(-x)=(-x)^3 +5(-x)+1$

Now you need to simplify the function. Then you get:

$f(-x)=-x^3 -5x+1$

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Therefore, the function $f(x)=x^3 +5x+1$ is not even.

As you observed in the procedure above, the statement that best describes how to determine whether the given function is even is:

Determine is $(-x)^3 +5(-x)+1$ is equivalent to $x^3 +5x+1$

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