## 15 cal problems

Question Description

1.Which of the following relations are functions? (2 points)
y = -x + 3x = y + 3x – 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 =

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