15 cal problems please help i

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1.

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

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

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 minus 2. (2 points)

x ≠ 2

x ≠ -3

x ≠ -3, 2

All real numbers

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(5)) if 6 divided by the quantity x minus 1. and g(x) = (x – 1)2. (2 points)

thirty five halves.

two fifths.

negative one eighth.

24

9.

Find f[g(x)] if f(x) = x2 + 1 and g(x) = x5. (2 points)

(x5 + 1)2

(x2 + 1)5

x10 + 1

None of these

10.

Find g(x) if g(x) is the resulting function from moving f(x) = (x + 1) right 2 units and up 5 units. (2 points)

g(x) = (x + 6) + 2

g(x) = (x – 1) + 2

g(x) = (x + 3) + 5

g(x) = (x – 1) + 5

11.

Rewrite f(x) = sin(x) if the function is stretched vertically by a factor of 5. (2 points)

sin(5x)

5sin(x)

one fifth sine x

sine of x over 5

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 5 times the square root of the quantity x minus 3. (2 points)

y ≥ 0

y > 3

y ≥ 3

All real numbers

14.

Is the function of f(x) = |-4x| + x4 even, odd, or neither? (2 points)

Odd

Even

Neither

15.

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

Amplitude = 2, Period = 2 pi over 3

Amplitude = 3, Period = π

Amplitude = one half, Period = 2Ï€

Amplitude = 2, Period = pi over 3

 
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