| 模型 | 模型答案 | 正确答案 |
|---|---|---|
| 金声玉亮2.0 | B. -75 |
B |
| deepseekr1 | To find \( f(-2) \) for \( f(x) = 8x^3 - 6x^2 - 4x + 5 \), substitute \( x = -2 \) into the polynomial: \[ \begin{align*} f(-2) &= 8(-2)^3 - 6(-2)^2 - 4(-2) + 5 \\ &= 8(-8) - 6(4) + 8 + 5 \quad \text{(compute exponents first)} \\ &= -64 - 24 + 8 + 5 \quad \text{(multiply coefficients)} \\ &= (-64 - 24) + (8 + 5) \quad \text{(group terms)} \\ &= -88 + 13 \\ &= -75. \end{align*} \] The result is \(-75\), which corresponds to **option B**. **Answer: B** |
B |
| gpto1 | B | B |
| GPT-4o | To find the value of \( f(-2) \) for the function \( f(x) = 8x^3 - 6x^2 - 4x + 5 \), we need to substitute \( x = -2 \) into the function and simplify. \[ f(-2) = 8(-2)^3 - 6(-2)^2 - 4(-2) + 5 \] Calculate each term step-by-step: \[ 8(-2)^3 = 8(-8) = -64 \] \[ -6(-2)^2 = -6(4) = -24 \] \[ -4(-2) = 8 \] \] 5 = 5 \] Now, sum these values: \[ f(-2) = -64 - 24 + 8 + 5 \] \[ f(-2) = -64 - 24 = -88 \] \[ -88 + 8 = -80 \] \[ -80 + 5 = -75 \] So, the value of \( f(-2) \) is \( -75 \). Answer: B |
B |
| llama3.1-70B-Instruct | B |
B |
| llama3.1-405B-Instruct | To find the value of $f(-2)$, we need to substitute $x = -2$ into the function $f(x) = 8x^3 - 6x^2 - 4x + 5$. So, $f(-2) = 8(-2)^3 - 6(-2)^2 - 4(-2) + 5$ First, let's calculate the powers of $-2$: $(-2)^3 = -8$ $(-2)^2 = 4$ Now, substitute these values back into the function: $f(-2) = 8(-8) - 6(4) - 4(-2) + 5$ Now, let's perform the multiplication: $8(-8) = -64$ $-6(4) = -24$ $-4(-2) = 8$ Now, substitute these values back into the function: $f(-2) = -64 - 24 + 8 + 5$ Now, let's add and subtract the numbers: $-64 - 24 = -88$ $-88 + 8 = -80$ $-80 + 5 = -75$ Therefore, the value of $f(-2)$ is $-75$. The correct answer is B. |
B |
| DeepSeek-Coder-V2 | To find the value of \( f(-2) \) for the function \( f(x) = 8x^3 - 6x^2 - 4x + 5 \), we need to substitute \( x = -2 \) into the function and simplify. First, substitute \( x = -2 \) into the function: \[ f(-2) = 8(-2)^3 - 6(-2)^2 - 4(-2) + 5 \] Next, calculate each term separately: \[ 8(-2)^3 = 8 \cdot (-8) = -64 \] \[ -6(-2)^2 = -6 \cdot 4 = -24 \] \[ -4(-2) = 8 \] \[ 5 = 5 \] Now, add these results together: \[ f(-2) = -64 - 24 + 8 + 5 \] Simplify the expression step by step: \[ -64 - 24 = -88 \] \[ -88 + 8 = -80 \] \[ -80 + 5 = -75 \] Thus, the value of \( f(-2) \) is: \[ \boxed{B} \] |
B |
| Qwen2-72B-Instruct | B. -75 | B |
| baichuan4 | To find the value of $f(-2)$, we substitute $-2$ for $x$ in the function $f(x) = 8x^3 - 6x^2 - 4x + 5$. $f(-2) = 8(-2)^3 - 6(-2)^2 - 4(-2) + 5$ $f(-2) = 8(-8) - 6(4) + 8 + 5$ $f(-2) = -64 - 24 + 8 + 5$ $f(-2) = -75$ So, the answer is B. -75. |
B |
| doubao | B Substituting $x=-2$ into $f(x)=8x^3-6x^2-4x+5$ gives: $f(-2)=8\times(-2)^3-6\times(-2)^2-4\times(-2)+5$ $=8\times(-8)-6\times4+8+5$ $=-64-24+8+5=-75$. |
B |
| minimax | To find the value of $f(-2)$, we substitute $x = -2$ into the function $f(x) = 8x^3 - 6x^2 - 4x + 5$. $f(-2) = 8(-2)^3 - 6(-2)^2 - 4(-2) + 5$ $f(-2) = 8(-8) - 6(4) + 8 + 5$ $f(-2) = -64 - 24 + 8 + 5$ $f(-2) = -64 - 16$ $f(-2) = -80$ None of the options A, B, C, or D match the correct answer, which is -80. There might be a mistake in the options provided. |
B |
| kimi | To find the value of \( f(-2) \), we substitute \( x = -2 \) into the function \( f(x) = 8x^3 - 6x^2 - 4x + 5 \). \[ f(-2) = 8(-2)^3 - 6(-2)^2 - 4(-2) + 5 \] Calculate each term: \[ 8(-2)^3 = 8(-8) = -64 \] \[ -6(-2)^2 = -6(4) = -24 \] \[ -4(-2) = 8 \] Now, add them together along with the constant term: \[ -64 - 24 + 8 + 5 = -75 \] So, the correct answer is: B. -75 |
B |
| wenxinyiyan | 首先，我们将多项式$f(x) = 8x^{3} - 6x^{2} - 4x + 5$进行分组，得到： $f(x) = (8x^{3} - 6x^{2}) + (- 4x + 5)$ 然后，我们对每一组进行因式分解，得到： $f(x) = 2x^{2}(4x - 3) - (4x - 5)$ 接着，我们将$x = - 2$代入上述表达式中，得到： $f( - 2) = 2 \times ( - 2)^{2}\lbrack 4 \times ( - 2) - 3\rbrack - \lbrack 4 \times ( - 2) - 5\rbrack$ $= 2 \times 4 \times ( - 8 - 3) - ( - 8 - 5)$ $= - 88 + 13$ $= - 75$． 故答案为：B. $-75$ 。 |
B |
| zhipu | To find the value of \( f(-2) \) for the function \( f(x) = 8x^3 - 6x^2 - 4x + 5 \), we need to substitute \( x = -2 \) into the function and simplify. Let's do the substitution step-by-step: \[ f(-2) = 8(-2)^3 - 6(-2)^2 - 4(-2) + 5 \] First, calculate each term separately: \[ (-2)^3 = -8 \] \[ 8(-8) = -64 \] \[ (-2)^2 = 4 \] \[ -6(4) = -24 \] \[ -4(-2) = 8 \] Now, add these results together along with the constant term: \[ f(-2) = -64 - 24 + 8 + 5 \] Combine the terms step-by-step: \[ -64 - 24 = -88 \] \[ -88 + 8 = -80 \] \[ -80 + 5 = -75 \] So, the value of \( f(-2) \) is \(-75\). Thus, the correct answer is: B. -75 |
B |
| gpto1 | B | B |
| deepseekv3 | To find the value of \( f(-2) \) for the function \( f(x) = 8x^3 - 6x^2 - 4x + 5 \), substitute \( x = -2 \) into the function and simplify: \[ \begin{aligned} f(-2) &= 8(-2)^3 - 6(-2)^2 - 4(-2) + 5 \\ &= 8(-8) - 6(4) + 8 + 5 \\ &= -64 - 24 + 8 + 5 \\ &= -64 - 24 + 13 \\ &= -88 + 13 \\ &= -75 \end{aligned} \] The correct answer is **B. -75**. |
B |