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

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 f of x equals the quantity x plus 3 divided by quantity x plus 2. (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 2 divided by the quantity x plus 4. and g(x) = (x – 1)2 . (2 points)

18

32

one tenth

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)

one third sine x

3sin(x)

sine of x over 3

12.

What is the domain of y equals two divided by the quantity x minus three squared all minus one? (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 f of x equals 2 times the square root of the quantity x minus 3. (2 points)

y > 3

y ≥ 3

y ≥ 0

All real numbers

14.

Is the function of five divided by x plus the absolute value of negative two x 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 = pi over 3.

Amplitude = 3, Period = π

Amplitude = 1 over 3., Period = 2π

Amplitude = 3, Period = pi over 2

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Assignment Solutions
Assignment Solutions

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