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The figure above shows the graph of h(x)...


The figure above shows the graph of h(x) on the interval `-6lexle6`. If h(3)=a, what is the value of h(a)?

A

`-6`

B

`-5`

C

`0`

D

`2`

Text Solution

Verified by Experts

The correct Answer is:
D
Difficult:Medium
Category: Passport to Advanced Math/ Functions
Strategic Advice: When presented with a function in equation form (here, h(3)=a), 3 is the iput(x) and a is the output (y). Use this information and the graph to first find a, and then h(a).
Getting to the Answer: If h(3)=1, then a is the y-coordinate of the point on the graph when x=3: the point is `(3, -5)`, so `a=-5`. You're not done yet-you're asked for the value of h(a), or h(-5). Find the point on the graph that has an x-coordinate of -5: the point is `(-5, 2)`, so `h(a)=2`. This matches (D).
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