Interpreting Functions
1) Find the maximum or minimum value in the graph x² + x + 1
- Minimum value = 4 / 5
- Minimum value = 4 /8
- Maximum value = 4 / 3
- Minimum value = 3 / 4
Answer: Minimum value = 3 / 4
2) Find the maximum or minimum value in the graph - x² + 2x + 1
- Minimum value = 2
- Maximum value = -2
- Minimum value = -2
- Maximum value = 2
Answer: Maximum value = 2
3) Find the maximum or minimum value in the graph 4x² - x - 1
- Minimum value = -19/ 16
- Maximum value = - 4 / 16
- Minimum value = 17 / 16
- Maximum value = -17 / 16
Answer: Maximum value = -17 / 16
4) Find the maximum or minimum value in the graph -5x² + 2x - 1
- Maximum value = - 6 / 5
- Maximum value = 4 / 5
- Minimum value = -4 / 5
- Maximum value = - 4 / 5
Answer: Maximum value = - 4 / 5
5) Find the maximum or minimum value in the graph 2(x-3)² + 3
- Maximum value = -3
- Maximum value = 3
- Minimum value = 9
- Minimum value = 3
Answer: Minimum value = 3
6) Find the maximum or minimum value in the graph -3(x - 4)² - 4
- Minimum value = -4
- Maximum value = -6
- Maximum value = -4
- Minimum value = 4
Answer: Maximum value = -4
7) Determine the range of function for the graph?
- y ≤ 2
- y ≥ 2
- y < 2
- y > 2
Answer: y ≥ 2
8) Determine the domain of function for the graph?
- - ∞ < y < ∞
- - ∞ < x < ∞
- ∞ < x < ∞
- ∞ < y <- ∞
Answer: - ∞ < x < ∞
9) Determine the range of function for the graph?
- y ≤ 0
- y ≥ 0
- y < 0
- y > 0
Answer: y ≥ 0
10) Determine the domain of function for the graph?
- -5 < x ≤ 4
- 9 < x ≤ 8
- -5 < x < 4
- 5 < x ≤ 9
Answer: -5 < x ≤ 4
11) Determine the range of function for the graph?
- 0 ≤ y < - ∞
- 0 < y < ∞
- 0 ≤ y < ∞
- 0 > y > ∞
Answer: 0 ≤ y < ∞
12) Convert point slope y – 3 = 5 (x – 4) to slope intercept form.
- y = 5x + 19
- y = 5x + 16
- y = 5x – 17
- y = 5x + 13
Answer: y = 5x – 17
13) Convert point slope y – 4 = 2(x – 3) to slope intercept form and find the value of m
- 2
- 5
- 8
- 5
Answer: 2
14) Convert a slope intercept y = (5/4)x + 5 to standard form
- 4y + 5x = -20
- 9x – 5y = 30
- 4y – 5x = 20
- y – x = 4
Answer: 4y – 5x = 20
15) Convert a slope intercept y = (2/3)x – 4 to standard form
- y + x = 8
- 3y – 2x = -12
- x + y = 6
- y – x = -6
Answer: 3y – 2x = -12
16) Identify Sine graph from the following graphs
- c
- b
- a
- d
Answer: c
17) Identify Cosine graph from the following graphs
- b
- c
- a
- d
Answer: a
18) Identify the graph does not represent Periodic function from the following graphs
- Graph 1
- Graph 4
- Graph 2
- Graph 3
Answer: Graph 2
19) Identify the tangent function from the following graphs
- c
- b
- a
- d
Answer: b
20) Identify the correct graph for the function f(x) = 1/ (x+2)
- c
- a
- d
- b
Answer: c
21) Identify the zeros of the function f(x) =(x² + 3x + 2) / (x² - 2x - 3)
- -8
- -2
- -5
- -3
Answer: -2
22) Identify the zeros of the function f(x) = (x² - 6x + 9) / (x² - 9)
- -1
- No zeros
- 2
- -2
Answer: No zeros
23) Identify the zeros of the function f( x ) = (x – 3) / (x + 3)
- 2
- -3
- 3
- -8
Answer: 3
24) Identify the period for the function y = 2sin4x + 3
- π / 4
- π / 6
- π / 3
- π / 2
Answer: π / 2
25) Identify the amplitude for the function y = -2sin (2 / 3) (x – (π / 2))
- 8
- 5
- 9
- 2
Answer: 2
26) If f(x) = (x² - x – 6) / (x² -1) then what are its asymptotes?
- (-1, -1)
- (-3, 2)
- (3 , -2)
- (1, -1)
Answer: (1, -1)
27) Which of the following justification is correct for the statement [x] – [-x] = ?
- 2 only
- 1 only
- 2 and 4
- 1 and 3
Answer: 1 and 3
28) Which of the graph represents signum function
- b
- d
- c
- a
Answer: a
29) Choose the correct graph for
- c
- d
- a
- b
Answer: d
30) Choose the correct graph for the following
- d
- b
- a
- c
Answer: b