a) f(x)=5x
Is f(x)=5x defined at any values of x ? Yes.
What is the minimum value of f(x) ? Cannot be defined.
Can you determine the maximum value of f(x) No.
Set notationInterval notationDomainR(−∞,∞)Range{y∈R∣y>0}(0,∞)
b) f(x)=(51)3x
Is f(x)=(51)3x defined at any values of x ? Yes.
What is the minimum value of f(x) ? Cannot be defined.
Can you determine the maximum value of f(x) No.
Set notationInterval notationDomainR(−∞,∞)Range{y∈R∣y>0}(0,∞)
c) f(x)=31(2)x+3
Which is P(x)? x Is P(x) linear? Yes.
Is a>0 or a<0 ? a>0
What is value of h ? 3
Set notationInterval notationDomainR(−∞,∞)Range{y∈R∣y>3}(3,∞)
d) g(x)=−(4)2x−3+1
Which is P(x)? 2x−3 Is P(x) linear? Yes.
Is a>0 or a<0 ? a<0
What is value of h ? 1
Set notationInterval notationDomainR(−∞,∞)Range{y∈R∣y<1}(−∞,1)
e) h(x)=2(3)3x−1+2
Which is P(x)? 3x−1 Is P(x) linear? Yes.
Is a>0 or a<0 ? a>0
What is value of h ? 2
Set notationInterval notationDomainR(−∞,∞)Range{y∈R∣y>2}(2,∞)
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