ESLCE-Math_-Interactive-Practice-4

1.1. The simplified form of expression 6√20−3√45/ 3√75 is:

A. √15/5
B. √5
C. 5
D. 1/ 5

2. Which of the following is true about arithmetic Mean of a given data?

A. There can be two means for a given data.
B. It is affected by extreme values.
C. It can be obtained even in the absence of some of the values in the data.
D. It can also be used for qualitative data

3. The graph of a certain relation R is represented by the shaded region shown on the figure below

Which one of the following pairs of sets respectively gives the domain and range of this relation?

A. R and {y/y ≤ 2}
B. R and R
C. {x/x ≤ 2} and {y/y ≤ 6}
D. {x/x ≤ 2} and R

4. In ∆ ABC, if AB = 10 units, BC = 14 units and AC =8 units, then the area of the triangle is

A.( 1 2 3 1 1 1 1 −4 −1 | 1 1 3 )
B. B. ( 2 1 3 1 0 −1 −4 1 0 | 4 1 3 )
C. ( 3 2 1 1 1 1 −1 −4 1 | 1 3 4 )
D. ( 3 1 2 −1 0 1 −4 1 −3 | 4 1 0 )

A. 2/5
B. 10
C. 30
D. 40

7. Suppose f is a continuous function on an interval [a,b] and differentiable on (a,b) with the property f(a) = f(b). Which one of the following must be true?

A. The function has maximum value in (a,b)
B. The graph of f has horizontal tangent line at (c, f(c)) for some c ∈ (a,b).
C. The function has a zero in(a,b).
D. The function has minimum values in (a,b)

8. Let f be a continuous function on R and c be a number in a domain off. which one of the following must be true about the function?

A. If fn (c)=0, then (c,f(c)) is an inflection point of f.
B.If c is a critical number of f, then f(c) is a local extremvalue of f
C. An absolute maximum value of f which is attained at a critical number is also a local maximum value of f.
D. If f(c) is a local maximum value of f, then f ` (c)=0

9. Let f be a continuous function on R and c be a number in the domain of f. which one of the following must be true about the function?

A. If fn(c)=0,then (c,f(c)) is an infection point of f.
B. If c is a critical number of f, then f(c) is alocal extereme value of f
C.An absolute maximum value of f which is attained at a critical number is also a local maximum value of f.
D. If f(c) is a local minimum value of f,then f` (c)=0

10.Which one of the following intervals is the solution set of the inequality x2-5x+6≤0?

A.[2,3]
B.[0,2]
C.[-∞,2]
D.[3,∞]

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