A. Yes, this represents a function B. No, this does not represent a function The

Question

A. Yes, this represents a function
B. No, this does not represent a function

The domain is:

Note: Write your answer in interval notation. If the answer includes more than one interval write the intervals separated by the union symbol, U. If the answer is ??, input -INF; if the answer is ?, input INF.

The range is:

A. [?4,?1)?{3}
B. [?4,1]
C. [?4,3]
D. [?4,1]?{3}
E. Not a function

2)Let f(x)=5x^2?3x+2. Determine each of the following:

(c) f(a)=  (Note that a^2 could be entered as a^ 2)

(d) f(?a)=  

(e) f(a+1)=  

(f) 2f(a)=  

(g) f(2a)=  

(h) f(a^2)=  

(i) [f(a)]^2=  

(j) f(a+h)=

Explanation / Answer

1)A. Yes, this represents a function

The domain is: [-5,8]

The range is D. [4,1]{3}

2)Let f(x)=5x^23x+2. Determine each of the following:

(c) f(a)=5a^23a+2  (Note that a^2 could be entered as a^ 2)

(d) f(a)=  5a^2+3a+2

(e) f(a+1)=  5(a+1)^23(a+1)+2 =5a^2+7a+4

(f) 2f(a)= 10a^26a+4

(g) f(2a)= 20a^26a+2

(h) f(a^2)=  5a^43a^2+2

(i) [f(a)]^2= (5a^23a+2)^2 =25a^4 -30a^3 +29a^2 -12a +4

(j) f(a+h)=5(a+h)^23(a+h)+2 =5a^2 +10ah+h^2 -3a-3h+2

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