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# Tell whether the equation determines y to be a function of

This is for Scott:

Tell whether the equation determines y to be a function of x.

21) y = 2x^2

Find each value given that f(x) = 2x+1.

58) f(b) - f(1)

Find the domain and range of each function.

63) f(x) = 1/x-4

Draw the graph of each linear function and give the domain and range.

71) 2x - 3y = 6

Tell whether each equation defines a linear function.

75) x=3y - 4

Let f(x) = 2x+1 and g(x) = x - 3. Find each function and its domain.

21) f+g

22) f - g

24) f/g

For each function, find f(x+h) - f(x) / h

65) f(x) = x^2 + 3x-4

Find the inverse of each function. Then graph the function and its inverse on one coordinate system. Find the equation of the line of symmetry.

39) f(x)=4x+3

Find the inverse of each function and tell whether it is a function.

47) y = x^2 + 4

49) y = x^3

Hi there!

I missed you a couple days ago when you said you were going to post :)

But I'll do these right now.

-Scott

Thanks for requesting me!

Tell whether the equation determines y to be a function of x.

21) y = 2x^2

Yes, there is only 1 y value for each x.

Find each value given that f(x) = 2x+1.

58) f(b) - f(1)
2b+1 - (2*1+1)

= 2b + 1 - (3)

= 2b - 2

Find the domain and range of each function.

63) f(x) = 1/x-4
1/(x-4)

Domain is all x except x = 4

Range is all y except y = 0

Draw the graph of each linear function and give the domain and range.

71) 2x - 3y = 6

Domain is all x.

range is all y

Graph:

Tell whether each equation defines a linear function.

75) x=3y - 4
Yes, there are two variables and no powers

Let f(x) = 2x+1 and g(x) = x - 3. Find each function and its domain.

21) f+g
2x + 1 + x - 3

3x - 2

domain is all x
range is all y

22) f - g
2x + 1 - (x-3)

= 2x + 1 - x + 3

= x + 4

domain is all x
range is all y

24) f/g

(2x+1)/(x-3)

domain is all x except 3
range is all y except 2

For each function, find f(x+h) - f(x) / h

65) f(x) = x^2 + 3x-4

((x+h)^2 + 3(x+h) - 4 - (x^2 + 3x - 4)) / h

(x^2 + 2hx + h^2 + 3x + 3h - 4 - x^2 - 3x + 4)/h

(2hx + h^2 + 3h - 4 + 4)/h

(2hx + h^2 + 3h)/h

2x + h + 3

Find the inverse of each function. Then graph the function and its inverse on one coordinate system. Find the equation of the line of symmetry.

39) f(x)=4x+3
x = 4g(x) + 3

4g(x) = x - 3

g(x) = (x-3)/4

The line of symmetry is y = x

Find the inverse of each function and tell whether it is a function.

47) y = x^2 + 4

x = y^2 + 4

y^2 = x - 4

y = +/- sqrt(x-4) not a function

49) y = x^3

x = y^3

y = x^(1/3) function

Let me know if you have any questions before you accept,

Scott