Question

1. using the graph of the function, evaluate each function value. each choice can only be used once.
2. $f(0) = \underline{\quad\quad}$
3. $f(1) = \underline{\quad\quad}$
4. $f(\underline{\quad\quad}) = 4$
5. $f(-2) = \underline{\quad\quad}$
6. $f(\underline{\quad\quad}) = 1$

options:
a. 4
b. 1
c. 0
d. $-1$
e. 2

Explanation:

Step1: Find \(f(0)\)

For \(f(0)\), look at \(x = 0\) on the graph. The point \((0,0)\) is on the graph, so \(f(0)=0\).

Step2: Find \(f(1)\)

For \(f(1)\), look at \(x = 1\) on the graph. The point \((1,1)\) is on the graph, so \(f(1)=1\).

Step3: Find \(x\) when \(f(x)=4\)

Look for \(y = 4\) on the graph. The points \((- 2,4)\) and \((2,4)\) are on the graph. But since each choice can only be used once and \(a = 4\) is given, we take \(x=-2\) or \(x = 2\).

Step4: Find \(f(-2)\)

For \(f(-2)\), look at \(x=-2\) on the graph. The point \((-2,4)\) is on the graph, so \(f(-2)=4\).

Step5: Find \(x\) when \(f(x)=1\)

Look for \(y = 1\) on the graph. The points \((-1,1)\) and \((1,1)\) are on the graph. Since \(f(1) = 1\) is already used, we take \(x=-1\).

Answer:

1. \(c\)
2. \(b\)
3. \(-2\) or \(2\)
4. \(a\)
5. \(-1\)