Final answer:
To evaluate the quadratic function g(x) = −2x² + 3x − 5, we substitute the input values −2, 0, and 3 into the function and calculate the outputs, which are −19, −5, and −14, respectively.
Step-by-step explanation:
The question involves evaluating a quadratic function g(x) = −2x² + 3x − 5 for specific values of x. To find the output values of the function, we plug in the given input values and perform the required calculations.
- For x = −2: g(−2) = −2(−2x-2) + 3(−2) − 5 = −8 − 6 − 5 = −19
- For x = 0: g(0) = −2(0)2 + 3(0) − 5 = −5
- For x = 3: g(3) = −2(3)2 + 3(3) − 5 = −18 + 9 − 5 = −14
The evaluated values for g(x) at the given points are −19, −5, and −14, respectively.