Question

Part one: This part contains 20questions of multiple choice each one worth 2 points. Please cho answer and fill it in the above table. Q1.Let $f(x) = x^3 - 2x + 4$, and let $f^{-1}(c^3) = c$, then the value of $c$, is: A) -2 B) $-\frac{1}{2}$ C) $\frac{1}{2}$ D) 2 Q2.If the horizontal asymptote of the curve of the function $f(x) = \frac{3x^2 + 1}{x(Mx - 2)}$ is $y = \frac{1}{3}$, then the value of $M$ A) 6 B) 9 C) 12 D) 15 Q3. The slope of the tangent line of the curve $f(x) = (2x - 5)^{50}$, at $x = 2$ equals: A) 200 B) 100 C) -100 D) 102 Q4. Let $f(x) = \begin{cases} 2x^3 + 1 & \text{if } x \ge 1\\ x^6 + 1 & \text{if } x < 1 \end{cases}$, then which of the following statements is true: A) $f(x)$ is continuous and not differentiable at $x = 1$. B) $f(x)$ is discontinuous and not differentiable at $x = 1$. C) $f(x)$ is discontinuous and differentiable at $x = 1$. D) $f(x)$ is continuous and differentiable at $x = 1$. Q5. If $f(x) = \sqrt{x} g(x)$, $g(25) = -40$, and $g'(25) = 2$, then the value of $f'(25)$ is: A) 12 B) 16 C) 4 D) 6

          Part one:
This part contains 20questions of multiple choice each one worth 2 points. Please cho
answer and fill it in the above table.
Q1.Let $f(x) = x^3 - 2x + 4$, and let $f^{-1}(c^3) = c$, then the value of $c$, is:
A) -2
B) $-\frac{1}{2}$
C) $\frac{1}{2}$
D) 2
Q2.If the horizontal asymptote of the curve of the function $f(x) = \frac{3x^2 + 1}{x(Mx - 2)}$ is $y = \frac{1}{3}$, then the value of $M$
A) 6
B) 9
C) 12
D) 15
Q3. The slope of the tangent line of the curve $f(x) = (2x - 5)^{50}$, at $x = 2$ equals:
A) 200
B) 100
C) -100
D) 102
Q4. Let $f(x) = \begin{cases} 2x^3 + 1 & \text{if } x \ge 1\\ x^6 + 1 & \text{if } x < 1 \end{cases}$, then which of the following statements is true:
A) $f(x)$ is continuous and not differentiable at $x = 1$.
B) $f(x)$ is discontinuous and not differentiable at $x = 1$.
C) $f(x)$ is discontinuous and differentiable at $x = 1$.
D) $f(x)$ is continuous and differentiable at $x = 1$.
Q5. If $f(x) = \sqrt{x} g(x)$, $g(25) = -40$, and $g'(25) = 2$, then the value of $f'(25)$ is:
A) 12
B) 16
C) 4
D) 6

Part one:
This part contains 20questions of multiple choice each one worth 2 points. Please cho
answer and fill it in the above table.
Q1.Let f(x) = x^3 - 2x + 4, and let f^-1(c^3) = c, then the value of c, is:
A) -2
B) -(1)/(2)
C) (1)/(2)
D) 2
Q2.If the horizontal asymptote of the curve of the function f(x) = (3x^2 + 1)/(x(Mx - 2)) is y = (1)/(3), then the value of M
A) 6
B) 9
C) 12
D) 15
Q3. The slope of the tangent line of the curve f(x) = (2x - 5)^50, at x = 2 equals:
A) 200
B) 100
C) -100
D) 102
Q4. Let f(x) = 2x^3 + 1 if x ≥ 1
x^6 + 1 if x < 1, then which of the following statements is true:
A) f(x) is continuous and not differentiable at x = 1.
B) f(x) is discontinuous and not differentiable at x = 1.
C) f(x) is discontinuous and differentiable at x = 1.
D) f(x) is continuous and differentiable at x = 1.
Q5. If f(x) = √(x) g(x), g(25) = -40, and g'(25) = 2, then the value of f'(25) is:
A) 12
B) 16
C) 4
D) 6

Added by Peter L.

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