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3 years ago

9

Suppose that F(x)=x^3 and G(x)=-5x^3. Which statement best compares the graph of G(x) with the graph of F(x)?

2 answers:

aev [14]3 years ago

7 0

Answer:

Multiplying the x^3 term by 4 means you're stretching it vertically, adding the minus sign means you're flipping it about the x-axis, and subtracting 5 means you're moving it down by 5 units.

Step-by-step explanation:

Vlad1618 [11]3 years ago

6 0

Answer: The graph of G(x) is the graph of F(x) stretched vertically, flipped over the x-axis, and shifted 2 units up

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If f(x)=x^2+3x+4 which of the number choices represents (f(x+h)-f(x))/h?

Helen [10]

In case you're not already aware, the expression $\frac{f(x+h)-f(x)}h$ is called the "difference quotient" and represents the average rate of change of a function $f$ over an interval $[x,x+h]$ .

For the function $f(x)=x^2+3x+4$ , by substituting $x+h$ we get

$f(x+h)=(x+h)^2+3(x+h)+4=(x^2+2xh+h^2)+(3x+3h)+4=x^2+3x+4+(2x+3)h+h^2$

Then the difference quotient is

$\dfrac{f(x+h)-f(x)}h=\dfrac{(x^2+3x+4+(2x+3)h+h^2)-(x^2+3x+4)}h$

$=\dfrac{(2x+3)h+h^2}h=2x+3+h$

where the last equality holds as long as $h\neq0$ .

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3 years ago

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Sedaia [141]

Answer:

-6z

Step-by-step explanation:

(3z)2=6z

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2 years ago

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Daniel [21]

Answer:

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Step-by-step explanation:

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But since we're given the diameter, 170,000, all we have to do is multiply it by $\pi$ .

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likoan [24]

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