Questions: Give the domain and range. Then, use the graph to find (a) f(-3), (b) f(0), (c) f(1), and (d) any values of x such that f(x)=3. (b) f(0)= (Type an integer or a decimal.) (c) f(1)= (Type an integer or a decimal.) (d) What are the values of x for which f(x)=3? (Use a comma to separate answers as needed.)

Give the domain and range. Then, use the graph to find (a) f(-3), (b) f(0), (c) f(1), and (d) any values of x such that f(x)=3. (b) f(0)= (Type an integer or a decimal.) (c) f(1)= (Type an integer or a decimal.) (d) What are the values of x for which f(x)=3? (Use a comma to separate answers as needed.)
Transcript text: Give the domain and range. Then, use the graph to find (a) $f(-3)$, (b) $f(0),(c) f(1)$, and (d) any values of $x$ such that $f(x)=3$. (b) $f(0)=$ $\square$ (Type an integer or a decimal.) (c) $f(1)=$ $\square$ (Type an integer or a decimal.) (d) What are the values of $x$ for which $f(x)=3$ ? $\square$ (Use a comma to separate answers as needed.)
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Solution

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Solution Steps

Step 1: Determine the Domain and Range
  • Domain: The domain of the function is the set of all possible x-values. From the graph, the x-values range from -3 to 6.
    • Domain: \([-3, 6]\)
  • Range: The range of the function is the set of all possible y-values. From the graph, the y-values range from 0 to 10.
    • Range: \([0, 10]\)
Step 2: Find \( f(-3) \)
  • Locate \( x = -3 \) on the graph and find the corresponding y-value.
    • From the graph, \( f(-3) = 2 \).
Step 3: Find \( f(0) \)
  • Locate \( x = 0 \) on the graph and find the corresponding y-value.
    • From the graph, \( f(0) = 6 \).

Final Answer

  • Domain: \([-3, 6]\)
  • Range: \([0, 10]\)
  • \( f(-3) \): 2
  • \( f(0) \): 6
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