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A function, h(x), is defined as shown.

h(x) =

Which graph represents h(x)? {image Attached)

A function, h(x), is defined as shown. h(x) = Which graph represents h(x)? {image-example-1

2 Answers

1 vote

Answer:

B

Explanation:

User Mheavers
by
8.2k points
4 votes

Answer:

option B

Explanation:

We have three different function for h(x)


h(x)= (1)/(4)x-4, x<=0

WE have x<=0, so the graph starts at x=0 and goes down

Plug in 0 for x


h(0)= (1)/(4)(0)-4

So h(0)= -4

When x=0, y= -4

The graph starts at (0,-4) and goes down


h(x)= (1)/(3)x-3, 0<x<=3

x lies between 0 and 3, so the graph starts at x=0 and ends at x=3

Plug in 0 for x


h(0)= (1)/(3)(0)-3

So h(0)= -3

When x=0, y= -4

Plug in 3 for x


h(3)= (1)/(3)(3)-3=-2

When x=3, y= -2

The graph starts at (0,-4) and ends at (3, -2)


h(x)= (1)/(2)x-2, x>=4

WE have x>=4, so the graph starts at x=4 and goes to the right

Plug in 4 for x


h(4)= (1)/(2)(4)-2

So h(4)= 0

When x=4, y= 0

The graph starts at (4,0) and goes to the right.

SEcond graph is correct


User Feyzi Bagirov
by
8.2k points

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