Advance math 2.1

Determine whether the relation is a function. Give the domain and the range of the relation. {(1,1), (1,2), (5,1), (5,2)} Is this a function?

No, this isn't a function. D:{1,5} R:{1,2}

Determine whether the relation is a function. Give the domain and the range for the relation. {(3,2), (5,4), (6,6)} Is this a function?

Yes, it is a function. D:{3,5,6} R:{2.4.6}

Determine whether the following equation defines y as a function of x. x^2 + y = 9 Does the equation x^2 + y = 9 define y as a function of x?

y = -x^2 + 9 Yes, it defines y as a function of x.

Determine whether the following equation defines y as a function of x. x-6=y^2 Does the equation x-6=y^2 define y as a function of x.

y^2 is a sideways parabola so it doesn't pass the line test. No, it doesn't define y as a function of x.

Use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts, if an; d. the y-intercepts, if any; and e. the missing function values, indicated by question marks, below. f(-2)=? f(2)=?

(the graph shows a parabola passing through the x and y axis) a.)the domain is (-infinity, infinity) b.)the range is [-4,infinity) c.) (A)the x-intercept(s) is (are) -1,3 d.) (A)the y-intercept is -3 e.) f(-2)=5 f(2)=-3

Use the vertical line test to identify graphs in which y is a function of x. Which of the following statements is correct?

(the graph shows an oval going through the x and y axis) y is not a function of x (because it doesn't pass the vertical line test)

Use the vertical line test to determine if y is a function of x in the graph. Which of the following statements is correct? Choose the correct answer below.

(the graph shows an upside down parabola going through the y axis but not the x) y is a function of x (because it passes the vertical line test)

Evaluate the function f(r)=√r+3 -9 at the given values of the independent variable and simplify. a. f(-3) b. f(97) c. F(x-3) (simplify your answer)

f(-3)=√-3+3 -9 f(97)=√97+3 -9 f(x-3)=√(x-3)+3 -9 f(-3)=0-9 f(97)=√100 -9 f(x-3)=√x -9 f(97)=10-9 a.)-9 b.) 1 c.) √x -9

Evaluate the function f(x)=6x-1 at the given values of the independent variable and simplify. a. f(9) b. f(x+3) c. f(-x) (simplify your answer.)

f(x)=6x-1 f(x+3)=6(x+3)-1 f(-x)=6(-x)-1 f(9)=6(9)-1 f(x+3)=6x+18-1 f(-x)=-6x-1 f(9)=54-1 A.)53 B.)6x+17 C.)-6x-1

Evaluate the function f(x)=x^2+6x-4 at the given values of the independent variable and simplify. a. f(9) b. f(x+1) c. f(-x) (simplify your answer)

f(x)=x^2+6x-4 f(x+1)=(x+1)^2+6(x+1)-4 f(9)=(9)^2+6(9)-4 f(x+1)=(x+1)(x+1)+6x+6-4 f(9)=81+54-4 f(x+1)=x^2+2x+1+6x+2 f(9)=131 f(x+1)=x^2+8x+3 f(-x)=(-x)^2+6(-x)-4 f(-x)=x^2-6x-4 a.)131 b.)x^2+8x+3 c.)x^2-6x-4