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1 year ago

The graph of the derivative of a function f crosses the x-axis 3 times. What does this tell you about the graph of f ?

Mathematics

2 answers:

expeople1 [14]1 year ago

7 0

Answer:

D. The function f has 3 horizontal tangent lines

Step-by-step explanation:

Well whenever any function crosses the x-axis, it means that the y-value is equal to zero.

In this case when the derivative passes the x-axis it indicates the tangent line corresponding to that x-value has a slope of zero, which when plotted is a horizontal line.

This means that the graph f has 3 horizontal tangent lines.

geniusboy [140]1 year ago

6 0

Answer:

D. The function f has 3 horizontal tangent lines

Step-by-step explanation:

i got 100%

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$y=$ $\frac{5}{7} x + 5$ is the correct answer, I found this by inputting the x and y value of the coordinate (35, 30) onto the equation and solving for y-intercept since the slope of all equations is the same (since it's traveling parallel)

$30 = \frac{5}{7} (35) + y\\30 = 25 + y\\5 = y$

so the equation would be $y=$ $\frac{5}{7} x + 5$

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$y=\frac{-7}{5} x+79$ is the correct answer, I found this using the same method as before, input coordinate values into the equation and solve for the y-intercept (The only thing changed from the last answer is the opposite reciprocal slope).