Homework Answers
The functions which are such that f(-x) = f(x) are symmetric about Y axis and are called even function.
In this given function, since the powers of x are 8 and 6, it is so happening that f(-x)=f(x). So, this graph is symmetric about Y axis, and the function is an even function.
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Discuss the symmetry of the graph of the function, and determine whether the function is even,...
Discuss the symmetry of the graph of the function, and determine whether the function is even,...
Discuss the symmetry of the graph of the function, and determine whether the function is even, odd, or neither. f(x) = 4x + 4x6 LY X 10 10 This graph is O A. symmetric about the y-axis. B. not symmetric about either. O C. symmetric about the x-axis. -16 This function is O A. odd. O B. even. C. neither
Use possible symmetry of the graph to determine whether it is the graph of an even...
Use possible symmetry of the graph to determine whether it is the graph of an even function, an odd function, or a function that is neither even nor odd. -5-4-3-2/14 1 2 3 4 2 13- bu O The function is even. O The function is odd. O The function is neither even nor odd. AY Use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts, if any; d. the y-intercept, if any, and...
Determine whether or not the graph is that of a function. It is use the graph...
Determine whether or not the graph is that of a function. It is use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin. 24 O A function domain x20 range: bly? - 2) intercepts: (-2,0), (0.2), (2.0) symmetryy-ands OB. function domain all real numbers range a real numbers intercepts: (-2,0), (0.2), (2.0) symmetry: none OC. function domain: 2 - 2 range: byly 20) intercepts:...
Four functions are given below. Either the function is defined explicitly, or the entire graph of...
Four functions are given below. Either the function is defined explicitly, or the entire graph of the function is shown. For each, decide whether it is an even function, an odd function, or neither. The function r The functions Even Odd Even HH+ Odd A HHHH O Neither Neither Even 43 $(x) = 5x* - 4x* Odd n(x) = 5x Even Odd Neither O Neither x 6 ?
1) find the vertex and axis of symmetry of the graph of the function. 2) determine...
1) find the vertex and axis of symmetry of the graph of the
function.
2) determine the domain and the range of the function.
3) State whether the function is a polynomial function or not.
If it is, give its degree. If it is not, tell why not.
4) For the polynomial, list each real zero and it’s
multiplicity. Determine whether the graph crosses or touches the
x–axis at each x-intercept.
vertex and axIS oF Sm f(x) = x2 +...
9. (4pts) Consider the linear functions f(x) 6-x+3(x-4) and g (x)-3(x+)-5(+1). Solve f(x) g() algebraically, showing...
9. (4pts) Consider the linear functions f(x) 6-x+3(x-4) and g (x)-3(x+)-5(+1). Solve f(x) g() algebraically, showing all steps. (You may also check graphically) 10. 4pts) Test algebraically whether the function f(x)-4x- is even, odd, or neither even nor odd. Show your work. (You may also check your results graphically.) 11. (4pts) Determine whether the graph of y =-x' + 4x is symmetric with respect to the x-axis, the y-axis, and/or the origin. Use your graphing calculator make a sketch below...
Using the given graph of the function t, find whether the function is even, odd, or...
Using the given graph of the function t, find whether the function is even, odd, or neither O Even O Odd O Neither 2 1) Click to select your answer 0
Decide whether fis even, odd, or neither. f(x)= x4 - 4x2 + 8 Choose the correct...
Decide whether fis even, odd, or neither. f(x)= x4 - 4x2 + 8 Choose the correct statement. A. The function is even OB. The function is odd. OC. The function is neither even nor odd.
Question 1 The graph of x4 - y = 1 is not symmetric with respect to...
Question 1 The graph of x4 - y = 1 is not symmetric with respect to which of the following graph? o Origin V-axis X-axis O y = x O Question 2 Determine if f(x)= 4x3 - 2x is even, odd, or neither? Insufficient Information Neither Even Odd Question 3 Given that f(x) is one-to-one, and f(1) = 2. f(2)=5. f(5)= 0, and f(0) = 1. Determine (f-lof-1)(0). 5 O 0 2 1
Use the given function to complete parts a) through e) below. f(x)= - x4 + 25x2...
Use the given function to complete parts a) through e) below. f(x)= - x4 + 25x2 a) Use the Leading Coefficient Test to determine the graph's end behavior. O A. The graph of f(x) rises left and falls right. B. The graph of f(x) falls left and rises right. OC. The graph of f(x) falls left and falls right. OD. The graph of f(x) rises left and rises right. b) Find the x-intercepts. X= (Type an integer or a decimal....
Discuss the symmetry of the graph of the function, and determine whether the function is even, odd, or neither. f(x) = 4x + 4x6 LY X 10 10 This graph is O A. symmetric about the y-axis. B. not symmetric about either. O C. symmetric about the x-axis. -16 This function is O A. odd. O B. even. C. neither
Use possible symmetry of the graph to determine whether it is the graph of an even function, an odd function, or a function that is neither even nor odd. -5-4-3-2/14 1 2 3 4 2 13- bu O The function is even. O The function is odd. O The function is neither even nor odd. AY Use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts, if any; d. the y-intercept, if any, and...
Determine whether or not the graph is that of a function. It is use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin. 24 O A function domain x20 range: bly? - 2) intercepts: (-2,0), (0.2), (2.0) symmetryy-ands OB. function domain all real numbers range a real numbers intercepts: (-2,0), (0.2), (2.0) symmetry: none OC. function domain: 2 - 2 range: byly 20) intercepts:...
Four functions are given below. Either the function is defined explicitly, or the entire graph of the function is shown. For each, decide whether it is an even function, an odd function, or neither. The function r The functions Even Odd Even HH+ Odd A HHHH O Neither Neither Even 43 $(x) = 5x* - 4x* Odd n(x) = 5x Even Odd Neither O Neither x 6 ?
1) find the vertex and axis of symmetry of the graph of the
function.
2) determine the domain and the range of the function.
3) State whether the function is a polynomial function or not.
If it is, give its degree. If it is not, tell why not.
4) For the polynomial, list each real zero and it’s
multiplicity. Determine whether the graph crosses or touches the
x–axis at each x-intercept.
vertex and axIS oF Sm f(x) = x2 +...
9. (4pts) Consider the linear functions f(x) 6-x+3(x-4) and g (x)-3(x+)-5(+1). Solve f(x) g() algebraically, showing all steps. (You may also check graphically) 10. 4pts) Test algebraically whether the function f(x)-4x- is even, odd, or neither even nor odd. Show your work. (You may also check your results graphically.) 11. (4pts) Determine whether the graph of y =-x' + 4x is symmetric with respect to the x-axis, the y-axis, and/or the origin. Use your graphing calculator make a sketch below...
Using the given graph of the function t, find whether the function is even, odd, or neither O Even O Odd O Neither 2 1) Click to select your answer 0
Decide whether fis even, odd, or neither. f(x)= x4 - 4x2 + 8 Choose the correct statement. A. The function is even OB. The function is odd. OC. The function is neither even nor odd.
Question 1 The graph of x4 - y = 1 is not symmetric with respect to which of the following graph? o Origin V-axis X-axis O y = x O Question 2 Determine if f(x)= 4x3 - 2x is even, odd, or neither? Insufficient Information Neither Even Odd Question 3 Given that f(x) is one-to-one, and f(1) = 2. f(2)=5. f(5)= 0, and f(0) = 1. Determine (f-lof-1)(0). 5 O 0 2 1
Use the given function to complete parts a) through e) below. f(x)= - x4 + 25x2 a) Use the Leading Coefficient Test to determine the graph's end behavior. O A. The graph of f(x) rises left and falls right. B. The graph of f(x) falls left and rises right. OC. The graph of f(x) falls left and falls right. OD. The graph of f(x) rises left and rises right. b) Find the x-intercepts. X= (Type an integer or a decimal....
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