Answer to Question #257796 in Math for kleve

Question #257796
Activity 1.1 Answer the guide questions to complete the table of domain and range of the following exponential functions, a.f(x) = 5* Is f(x)=5* defined at any values of x? What is the minimum value of f(x)? Can you determine the the maximum value of f(x)? Domain. Range Set Notation Interval Notation. b. f(x) = (-)" Is f(x) = ()** defined at any values of x? What is the minimum value of f(x)? Can you determine the maximum value of f(x)? Range Set Notation Interval Notation. Domain c. f(x) = (2)³ +3 Which is P(x)? Is a > 0 or a <0? Is P(x) linear? What is the value of h? Set Notation Interval Notation Domain Range d. g(x)=-(4)²-3+1 Which is P(x)? Is a > 0 or a <0? What is the value of h? Is P(x) linear? Set Notation Domain Range Interval Notation
1
Expert's answer
2021-10-29T01:43:03-0400

a) f(x)=5xf(x)=5^x


Is f(x)=5xf(x)=5^x defined at any values of xx ? Yes.

What is the minimum value of f(x)f(x) ? Cannot be defined.

Can you determine the maximum value of f(x)f(x) No.



DomainRangeSet notationR{yRy>0}Interval notation(,)(0,)\def\arraystretch{1.5} \begin{array}{c:c:c} & Domain & Range \\ \hline Set\ notation & \R & \{y\in \R|y>0\} \\ \hdashline Interval\ notation & (-\infin,\infin) & (0,\infin) \end{array}

b) f(x)=(15)3xf(x)=(\dfrac{1}{5})^{3x}


Is f(x)=(15)3xf(x)=(\dfrac{1}{5})^{3x} defined at any values of xx ? Yes.

What is the minimum value of f(x)f(x) ? Cannot be defined.

Can you determine the maximum value of f(x)f(x) No.



DomainRangeSet notationR{yRy>0}Interval notation(,)(0,)\def\arraystretch{1.5} \begin{array}{c:c:c} & Domain & Range \\ \hline Set\ notation & \R & \{y\in \R|y>0\} \\ \hdashline Interval\ notation & (-\infin,\infin) & (0,\infin) \end{array}

c) f(x)=13(2)x+3f(x)=\dfrac{1}{3}(2)^{x}+3


Which is P(x)P(x)? xx Is P(x)P(x) linear? Yes.

Is a>0a>0 or a<0a<0 ? a>0a>0

What is value of hh ? 33


DomainRangeSet notationR{yRy>3}Interval notation(,)(3,)\def\arraystretch{1.5} \begin{array}{c:c:c} & Domain & Range \\ \hline Set\ notation & \R & \{y\in \R|y>3\} \\ \hdashline Interval\ notation & (-\infin,\infin) & (3,\infin) \end{array}

d) g(x)=(4)2x3+1g(x)=-(4)^{2x-3}+1


Which is P(x)P(x)? 2x32x-3 Is P(x)P(x) linear? Yes.

Is a>0a>0 or a<0a<0 ? a<0a<0

What is value of hh ? 11


DomainRangeSet notationR{yRy<1}Interval notation(,)(,1)\def\arraystretch{1.5} \begin{array}{c:c:c} & Domain & Range \\ \hline Set\ notation & \R & \{y\in \R|y<1\} \\ \hdashline Interval\ notation & (-\infin,\infin) & (-\infin, 1) \end{array}

e) h(x)=2(3)3x1+2h(x)=2(3)^{3x-1}+2


Which is P(x)P(x)? 3x13x-1 Is P(x)P(x) linear? Yes.

Is a>0a>0 or a<0a<0 ? a>0a>0

What is value of hh ? 22


DomainRangeSet notationR{yRy>2}Interval notation(,)(2,)\def\arraystretch{1.5} \begin{array}{c:c:c} & Domain & Range \\ \hline Set\ notation & \R & \{y\in \R|y>2\} \\ \hdashline Interval\ notation & (-\infin,\infin) & (2,\infin) \end{array}


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment