parent functions

Question 1

What is the domain and range of:

f (x) = x

Answer 1

Domain: {xER}

Range: {f (x) ER}

Question 2

What is the domain and range of:

f(x) = sin x

Answer 2

Domain: {xER}

Range: {f(x) ER| -1 < f(x) < 1}

Question 3

What is the graph of:

f(x) = sqrt x

Answer 3

Question 4

What is the graph of:

f(x) = 2^x

Answer 4

Question 5

What is the domain and range of:

f(x) = |x|

Answer 5

Domain: {xER}

Range: {f(x) ER| f(x) > 0}

Question 6

What is the domain and range of:

f (x) = 1/x

Answer 6

Domain: {xER| x does not = 0}

Range: {f(x) ER| f(x) does not = 0}

Question 7

What is the domain and range of:

f (x) = x²

Answer 7

Domain: {xER}

Range: {f(x) ER | f(x) > 0}

Question 8

What is the graph of:

f(x) = |x|

Answer 8

Question 9

What is the domain and range of:

f(x) = sqrt x

Answer 9

Domain: {xER | x > 0}

Range: {f(x) ER| f(x) >0}

Question 10

What is the graph of:

f(x) = sinx

Answer 10

Question 11

What is the graph of:

f (x) = x²

Answer 11

Question 12

What is the graph of:

f (x) = x

Answer 12

Question 13

What is the domain and range of:

f(x) = cos x

Answer 13

Domain: {xER}

Range: {f(x) ER| -1 < f(x) < 1}

Question 14

What is the domain and range of:

f(x) = 2^x

Answer 14

Domain: {xER}

Range: { f(x) ER | f(x) >0}

Question 15

What is the graph of:

f(x) = cos x

Answer 15

Question 16

What is the graph of:

f (x) = 1/x

Answer 16