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Marat540 [252]
3 years ago
12

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

Mathematics
2 answers:
Juliette [100K]3 years ago
7 0
The second one! The others do not follow the piecewise function stated.
Fed [463]3 years ago
3 0

Answer:

option B

Step-by-step explanation:

We have three different function for h(x)

h(x)= \frac{1}{4}x-4, x

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

Plug in 0 for x

h(0)= \frac{1}{4}(0)-4

So h(0)= -4

When x=0, y= -4

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

h(x)= \frac{1}{3}x-3, 0

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)= \frac{1}{3}(0)-3

So h(0)= -3

When x=0, y= -4

Plug in 3 for x

h(3)= \frac{1}{3}(3)-3=-2

When x=3, y= -2

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

h(x)= \frac{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)= \frac{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


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