To find the range of the function $y = 4x - 7$ when the domain is $\{-2, -1, 3\}$, we substitute each value of $x$ into the equation and solve for $y$.

Step-by-step solution:

1. Substitute $x = -2$: $y = 4(-2) - 7 = -8 - 7 = -15$

2. Substitute $x = -1$: $y = 4(-1) - 7 = -4 - 7 = -11$

3. Substitute $x = 3$: $y = 4(3) - 7 = 12 - 7 = 5$

Final Range:

The range of the function $y = 4x - 7$ is: $\{-15, -11, 5\}$

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Related Questions:

1. What is the domain and range of $y = 4x - 7$ if $x$ belongs to all real numbers?
2. How would the range change if the domain were $\{-3, 0, 2\}$?
3. What is the slope of the linear function $y = 4x - 7$?
4. How do you determine the range of a function given its domain?
5. Can you graph $y = 4x - 7$ for the domain $\{-2, -1, 3\}$?

Tip:

For linear functions, the range is determined by substituting the values of the given domain into the function equation. Always solve step-by-step to avoid mistakes!