Question

f(x) = 8, so x = 4 f(0) = 9 f(4) = 5 f(x) = 6, so x = 3 13. mapping diagram: left oval with -2, 0, 7; right oval with -4; arrows from -2, 0, 7 to -4 function: yes or no domain: __________ range: ________ f(7) = __ f(-2) = __ f(0) = __ 14. table: x | y -3 | -5 -2 | -5 0 | -5 4 | -5 7 | -5 function: yes or no (no circled) domain: ________ range: ________ f(-3) = __ f(4) = __ f(7) = __ f(-2) = ____ ons. the graph shows the total score, y, when x questions are answered correctly. possible quiz scores

Explanation:

Problem 13 (Function Diagram)

Step1: Determine if it's a function

A relation is a function if each input (domain element) has exactly one output (range element). Here, -2, 0, 7 each map to -4 (one output per input). So function: Yes.

Step2: Find Domain

Domain is set of inputs: {-2, 0, 7}

Step3: Find Range

Range is set of outputs: {-4}

Step4: Evaluate \( f(7) \)

7 maps to -4, so \( f(7) = -4 \)

Step5: Evaluate \( f(-2) \)

-2 maps to -4, so \( f(-2) = -4 \)

Step6: Evaluate \( f(0) \)

0 maps to -4, so \( f(0) = -4 \)

Step1: Determine if it's a function

A relation is a function if each \( x \) (input) has exactly one \( y \) (output). Here, -3, -2, 0, 4, 7 all map to -5 (one output per input). So function: Yes (note: the original "No" was incorrect).

Step2: Find Domain

Domain is set of \( x \)-values: \(\{-3, -2, 0, 4, 7\}\)

Step3: Find Range

Range is set of \( y \)-values: \(\{-5\}\)

Step4: Evaluate \( f(-3) \)

When \( x = -3 \), \( y = -5 \), so \( f(-3) = -5 \)

Step5: Evaluate \( f(4) \)

When \( x = 4 \), \( y = -5 \), so \( f(4) = -5 \)

Step6: Evaluate \( f(7) \)

When \( x = 7 \), \( y = -5 \), so \( f(7) = -5 \)

Step7: Evaluate \( f(-2) \)

When \( x = -2 \), \( y = -5 \), so \( f(-2) = -5 \)

Answer:

Function: Yes
Domain: \(\{-2, 0, 7\}\)
Range: \(\{-4\}\)
\( f(7) = -4 \), \( f(-2) = -4 \), \( f(0) = -4 \)

Problem 14 (Function Table)