1. The graph of a function is given. Use the graph to answer the questions. Use interval notation. Type inf for positive and -inf for negative infinity.

Graph of f(x)=x^4+3x^2+4 coordinates m shape. (-2,-4),(-2,0),(-1,6),(0,4), (1,6), and (2, -4).

What are the domain and range of the function?

What are the x and y intercepts

Find f(1)

2.The graph of a function is given. Use the graph to answer the questions. Use interval notation. Type inf for positive and -inf for negative infinity.

Graph of y=x^3-6x^2+9x+5 coordinates (0,5), (1,9), (3,5), (4,9)

What are the relative maximum and relative minimum? State the order pair for both

On what intervals are the function increasing and decreasing?

3.Passing through (4,-7) and (1,2)

Write an equation for the line in slope-intercept form

4.What is the equation of the line in slope-intercept form that passes through the point (-2,-2) and is perpendicular to the line with equation y=-3x+2

5.What transformations are needed to graph h(x) if the standard equation f(x)=x^2?

h(x)=-(x-4)^2+6

Reflection about the x-axis

Reflection about the y-axis

Shift up 6

Shift down 6

Shift down 4

Shift up 4

Shift left 6

Shift right 6

Shift left 4

Shift right 4

6.Find the indicated composition and simplify the answer.

f(x)=2x-1, annd g(x)=x^2+6

find (g times f)(2)

find (f times g)(x)

7.Find the inverse of function f(x)-x^3+2

8.Use the given quadratic function f(x)=-x^2+2x+3

What's the vertex of the parabola? Write it in ordered pair

Does the parabola open up or down?

What's the equation for the axis of the symmetry?

What's the range? State using interval notation.

9.The cost in million of dollars for a company to manufacture x thousand cars is given by the function.

C(x)=3x^2-30x+200

What's the number of cars that must be produced to minimize the cost?

10.Solve the quadratic equation of x^2-12x+40=0

11.What's the graph of the polynomial function of f(x)=x^4-10x^3+20x^2

12.Find the remaining zeros of the polynomial function f(x)=x^3+6x^2+9x+2 that -2 is a zero. Don't use decimal approx., exact answer

13.f(x)=5x/5x+4

What are the vertical, horizontal, and slant asymptote?

14.x-4/x-1>0. A line underneath the >. This is the rational inequality.

This is the graph of the corresponding rational function. Graph of f(x)=(x-4)/(x-1)

Express the solution set in interval notation.

15.Solve the polynomial inequality of x^2+x-6<0. Express the solution set in interval notation.

16.Solve the exponential equation of 4^(2x-3)=64

17.Solve the logarithmic equation of log,3x+log,3(x-6)=3 The ,3 means the 3 is lower exponent of log.

x=

18.The value of a investment follows a pattern of exponential growth. In the year 2000, I invested money in a money market account. The value of your investment T years after 2000 is given by the exponential growth model A(T)=5600e^(0.053T) T=Times. When will the account be worth $8,557? Round to the nearest year.

19.The loudness level of a sound, D in decibels, is given by the formula d=10log(10^(12)i) where i is the intensity of the sound, in watt per square meter? What's the decimal level of a normal conversation, 3.8x10^-6 watt per square meter? Round to a whole number

Loudness level of a normal conversation=-________ decibels

20.Solve the system of equations using the method of your choice. Write the answer as an triple or state that there is no solution. Its probably a solution to this problem.

x-y+2z=4

5x+z=3

x+2y+z+7

21.What's the decomposition of the rational expression 11x^2-5x+1/(x-1)^2(x^2+2x+2)

A.A/x-1+B/(x-1)^2+Cx+D/x^2+2x+2

B.Ax+B/(x-1)^2+Cx+D/x^2+2x+2

C.A/x-1+Cx+D/x^2+2x+2

D. A/x-1+B(x-1)^2+C/x^2+2x+2

22.Determine the values of A and B in the given decomposition

7x-4/x^2-x-12=A/x-4+B/x+3

A=

B=

23.Solve the system of nonlinear equations using either substitution and elimination.

3x-y=5

x^2+y^2=5