Question

Question 3: (10+5+5 marks) a. Consider the circle, x² + 12x + y² – 14y + 84 = 0 i) Write the equation of the circle in standard form. ii) Identify the center and radius. b. Find the domain of f(x)= ?(x – 5) Question 4: ( 10 +4 + 2+4 marks ) Consider the parabola f(x) = x² + 6x – 27 a. Write the equation in vertex form. b. Find the vertex and axis of symmetry. c. Find the minimum value of the parabola. d. Find the x-intercept and the y-intercept Question 5: ( 10 +10 marks) a. Show that f(x) = x³ – 2x² + 3x – 10 has at least one zero on the interval [1, 3]. b. Determine if (x+6) is a factor of f(x) = x² + 3x – 18

          Question 3: (10+5+5 marks)

a. Consider the circle, x² + 12x + y² – 14y + 84 = 0
i) Write the equation of the circle in standard form.

ii) Identify the center and radius.

b. Find the domain of f(x)= ?(x – 5)

Question 4: ( 10 +4 + 2+4 marks )
Consider the parabola f(x) = x² + 6x – 27

a. Write the equation in vertex form.

b. Find the vertex and axis of symmetry.

c. Find the minimum value of the parabola.

d. Find the x-intercept and the y-intercept

Question 5: ( 10 +10 marks)

a. Show that f(x) = x³ – 2x² + 3x – 10 has at least one zero on the interval [1, 3].

b. Determine if (x+6) is a factor of f(x) = x² + 3x – 18

Question 3: (10+5+5 marks)

a. Consider the circle, x² + 12x + y² – 14y + 84 = 0
i) Write the equation of the circle in standard form.

ii) Identify the center and radius.

b. Find the domain of f(x)= ?(x – 5)

Question 4: ( 10 +4 + 2+4 marks )
Consider the parabola f(x) = x² + 6x – 27

a. Write the equation in vertex form.

b. Find the vertex and axis of symmetry.

c. Find the minimum value of the parabola.

d. Find the x-intercept and the y-intercept

Question 5: ( 10 +10 marks)

a. Show that f(x) = x³ – 2x² + 3x – 10 has at least one zero on the interval [1, 3].

b. Determine if (x+6) is a factor of f(x) = x² + 3x – 18

Added by Jose Luis L.

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