Micronutrients are involved in all metabolic and cellular functions. Plants differ in their need for...

Transformations of Functions; Combinations of Functions; Composite Functions;...
Quiz for Exam 3
Transformations of Functions; Combinations of Functions; Composite Functions; Inverse Functions; Distance and Midpoint Formulas; Circles, Quadratic Functions; Polynomial Functions and Their Graphs; Dividing Polynomials and Remainder and Factor Theorems.
1. Use transformations of to graph the following function:
2. Begin by graphing the absolute value function, Then use transformations of this graph to graph the given function.
3. Use transformations of the graph of to determine the graph of the given function.
4. First find . Then determine the domain for each function.
=
Domain=
(f
Domain=
Domain=
Domain=
5. First find . Then determine the domain for each function.
=
Domain=
(f
Domain=
Domain=
Domain=
6. For and g(x) =3x+5
a. =
b. =
c. =
d.
7. For and
a. =
b. =
c. =
d.
8. Given the function
Find .
9. Given the function
Find .
10. Find the distance between the pair of points (4,1) and (9,6). If necessary, express the answer in simplified radical form and then round to two decimal places.
11. Find the midpoint of the line segment whose endpoints are given (−10, −7), (2, −10).
12. Write the standard form of the equation of the circle with the given center and radius.
Center (−6, 8), r=10
13. Give the center and radius of the circle described by the equation and graph the equation. Use the graph to identify the relation's domain and range.
14. Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation of the parabola's axis of symmetry. Use the graph to determine the domain and range of the function.
15. Determine whether the function is a polynomial function. If it is, identify the degree.
A. It is a polynomial. The degree of the polynomial is: ___
B. It is not a polynomial.
16. Determine whether the function is a polynomial function. If it is, identify the degree.
A. It is a polynomial. The degree of the polynomial is ___
B. It is not a polynomial.
17. Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around at each zero.
18. Divide using long division. State the quotient, q(x), and the remainder, r(x).
19. Divide using synthetic division.