Describe how to transform the graph of f into the graph of g.

1 answer:

5 0

We are given with two functions f(x)= x^2 and g(x) = -x^2. in this case, we can plot the first equation having a y with two values -x and x. On the other hand, in the second function, when we use the same values of x, the y-value is the negative of the y-value in used in the first equation. Hence the answer is 4)reflect the graph of f across the x axis.

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What is the end behavior of the graph of f(x) = x5 – 8x4 + 16x3?

ryzh [129]

Answer:

Step-by-step explanation:

f(x) = x⁵ – 8x⁴ + 16x³

As x approaches +∞, the highest term, x⁵, approaches +∞.

As x approaches -∞, x⁵ approaches -∞ (a negative number raised to an odd exponent is also negative).

Now let's factor:

f(x) = x³ (x² – 8x + 16)

f(x) = x³ (x – 4)²

f(x) has roots at x=0 and x=4. x=4 is a repeated root (because it's squared), so the graph touches the x-axis but does not cross at x=4.