Laurel Springs High School Calculus Problems Report

1.

Which of the following relations are functions? (2 points)

1. y = -x + 3
2. x = y + 3
3. x – y = 3

	None of them
	All of them
	Choice II only
	Choice III only

2.

Find the range for f(x) = x² + 1, for x < 0. (2 points)

	y ? 1
	y > 1
	y < 1
	y ? 1

3.

Find the domain for . (2 points)

	x ? 2
	x ? -3
	x ? -3, -2
	x ? -2

4.

Find the range of the function: f(x) = x + 3, for x ? 1. (2 points)

	All real numbers
	y ? 4
	y ? 3
	y ? 1

5.

Determine whether f(x) = 5x² + 3x + 4 has a maximum or minimum. (2 points)

	Maximum
	Minimum

6.

Where is the function 4(x + 2)(x – 3)³ > 0? (2 points)

	When x < -2 or x > 3
	When x > -2 or x < 3
	For no x values
	For all x values

7.

For which x value would the graph of y = x² – 25 be below the x-axis? (2 points)

	7
	6
	5
	4

8.

Find f(g(-3)) if and g(x) = (x – 1)² . (2 points)

	18
	32
	1

9.

Find f[g(x)] if f(x) = x² + 1 and g(x) = x³. (2 points)

	x6 + 1
	x8 + 1
	(x2 + 1)3
	None of these

10.

Find g(x) if g(x) is the resulting function from moving f(x) = (x + 2) right 1 unit and up 6 units. (2 points)

	g(x) = (x + 1) + 6
	g(x) = (x – 1) + 6
	g(x) = (x + 3) + 6
	g(x) = (x – 6) + 1

11.

Rewrite f(x) = sin(x) if the function is stretched vertically by a factor of 3. (2 points)

	sin(3x)
	3sin(x)

12.

What is the domain of ? (2 points)

	All real numbers less than 3
	All real numbers except 3
	All real numbers greater than 1
	All real numbers greater than 3
	All real numbers

13.

Find the range of . (2 points)

	y > 3
	y ? 3
	y ? 0
	All real numbers

14.

Is the function of even, odd, or neither? (2 points)

	Even
	Odd
	Neither

15.

Find the period and amplitude for f(x) = 3sin(2x). (2 points)

	Amplitude = 2, Period = .
	Amplitude = 3, Period = ?
	Amplitude = , Period = 2?
	Amplitude = 3, Period =