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2 years ago

Which function does the graph represent

Mathematics

2 answers:

kherson [118]2 years ago

8 0

Answer:

The vertical line test can be used to determine whether a graph represents a function. A vertical line includes all points with a particular x value. The y value of a point where a vertical line intersects a graph represents an output for that input x value.

Step-by-step explanation:

myrzilka [38]2 years ago

3 0

Answer:

The answer is d

Step-by-step explanation:

I graphed it

-b/2a to get the vertex

3x^2-12+9

-(-12)/(2)(3)=2

plug in 2 to the function

12-24+9=-3 which is the y value on the graph

(2,-3) is the vertex

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Let's analyze Hannah's work, step-by-step, to see if she made any mistakes.

In Step 1, Hannah wrote $\dfrac{d}{dx} (-3+8x)$ as the sum of two separate derivatives $\dfrac{d}{dx}(-3)+ \dfrac{d}{dx} (8x)$ using the sum rule.

This step is perfectly fine.

In Step 2, $\dfrac{d}{dx}(8x)$ was kept as it is, and $\dfrac{d}{dx}(-3)$ was rewritten as $0$ using the constant rule.Indeed, according to the constant rule, the derivative of a constant number is equal to zero.

This step is perfectly fine.

In Step 3, $\dfrac{d}{dx} (8x)$ was rewritten as $\dfrac{d}{dx}(8) \dfrac{d}{dx}(x)$ supposedly using the constant multiple rule.

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Therefore, Hannah made a mistake in this step.

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