f (x)= |x|+2; g (x)= |2x|+ 4; and h (x)= |x-4|+2. The reflection of these functions is taken about y=2, y=4, and y=2 respectively. In how many distinct points do these graphs cut the x-axis when plotted together?

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Solution

The correct option is B 3
Option (b)

First two graphs will be cutting x-axis at +2 and -2.

And third one too will pass through +2 and +6. So there are three ponts on x axis.

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Similar questions

A polynomial $y = f (x)$ when represented on graph cuts $x - axis$ at 2 points and $y - axis$ at 3 points. What is the number of zeroes of $f (x)$ ?

x^{2} + y^{2} = 4

y^{2} = 4

y = f (x)

y = g (x)

(0, 4), (2, 2)

(4, 0)

f (x) > g (x)

0 < x < 2

f (x) < g (x)

2 < x < 4

\int_{0}^{4} (f (x) - g (x)) d x = 10

\int_{2}^{4} (g (x) - f (x)) d x = 5

0 < x < 2

Which function models the graph below?

X –axis 1 grid = 1 unit

Y –axis 1 grid = 1 unit

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