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study help
mathematics
college mathematics for business
Questions and Answers of
College Mathematics For Business
In Problem describe how the graph of each function is related to the graph of one of the six basic functions in Figure 1. Sketch a graph of each function.g(x) = -|x + 3|Figure 1
For each rational function in Problem(A) Find the intercepts for the graph.(B) Determine the domain.(C) Find any vertical or horizontal asymptotes for the graph.(D) Sketch any asymptotes as dashed
For Problem write in simpler form, as in Example 4.logb w15Example 4For f(x) = 12/ (x - 2), g(x) = 1 - x2, and h(x) = √x - 1, evaluate:(A) f(6) (B) g(-2) (C) h(-2) (D) f(0) + g(1) -
In Problem write an equation for each graph in the form y = a(x - h)2 + k, where a is either 1 or -1 and h and k are integers.
In Problem each equation specifies a function with independent variable x. Determine whether the function is linear, constant, or neither.x + xy + 1 = 0
In Problem graph each of the functions using the graphs of functions f and g below.y = - (0.5g(x) + 3) f(x) g(x) -5 -5 5 -5 -5
For Problem write in simpler form, as in Example 4.logb L5Example 4For f(x) = 12/ (x - 2), g(x) = 1 - x2, and h(x) = √x - 1, evaluate:(A) f(6) (B) g(-2) (C) h(-2) (D) f(0) + g(1) -
In Problem each equation specifies a function with independent variable x. Determine whether the function is linear, constant, or neither.x = 8y + 9
In Problem write an equation for each graph in the form y = a(x - h)2 + k, where a is either 1 or -1 and h and k are integers.
In Problem graph each of the functions using the graphs of functions f and g below.y = 2(f(x) + 1) f(x) g(x) -5 -5 5 -5 -5
For each rational function in Problem(A) Find the intercepts for the graph.(B) Determine the domain.(C) Find any vertical or horizontal asymptotes for the graph.(D) Sketch any asymptotes as dashed
For Problem write in simpler form, as in Example 4.logb FGExample 4For f(x) = 12/ (x - 2), g(x) = 1 - x2, and h(x) = √x - 1, evaluate:(A) f(6) (B) g(-2) (C) h(-2) (D) f(0) + g(1) -
In Problem each equation specifies a function with independent variable x. Determine whether the function is linear, constant, or neither.2x - 4y - 6 = 0
In Problem write an equation for each graph in the form y = a(x - h)2 + k, where a is either 1 or -1 and h and k are integers.
In Problem graph each of the functions using the graphs of functions f and g below.y = -0.5g(x) + 3 f(x) g(x) -5 -5 5 -5 -5
For Problem write in simpler form, as in Example 4.Example 4For f(x) = 12/ (x - 2), g(x) = 1 - x2, and h(x) = √x - 1, evaluate:(A) f(6) (B) g(-2) (C) h(-2) (D) f(0) + g(1) - h(10)
In Problem each equation specifies a function with independent variable x. Determine whether the function is linear, constant, or neither.y + 5x2 = 7
In Problem write an equation for each graph in the form y = a(x - h)2 + k, where a is either 1 or -1 and h and k are integers.
In Problem graph each of the functions using the graphs of functions f and g below.y = 2f(x) + 1 f(x) g(x) -5 -5 5 -5 -5
For each rational function in Problem(A) Find the intercepts for the graph.(B) Determine the domain.(C) Find any vertical or horizontal asymptotes for the graph.(D) Sketch any asymptotes as dashed
In Problem each equation specifies a function with independent variable x. Determine whether the function is linear, constant, or neither. 1 y = 4x + -
In Problem valuate the expression without using a calculator.ln e-1
In Problem graph each of the functions using the graphs of functions f and g below.y = 2f(x) f(x) g(x) -5 -5 5 -5 -5
What is the minimum number of x intercepts that a polynomial of degree 6 can have? Explain.
In Problem each equation specifies a function with independent variable x. Determine whether the function is linear, constant, or neither. y = -3x + 8.
In Problem valuate the expression without using a calculator.eln(-3)
In Problem find each of the following:(A) Intercepts (B) Vertex(C) Maximum or minimum (D) Rangem(x) = (x + 1)2 - 2
In Problem graph each of the functions using the graphs of functions f and g below.y = 0.5g(x) f(x) g(x) -5 -5 5 -5 -5
What is the minimum number of x intercepts that a polynomial of degree 9 can have? Explain.
In Problem valuate the expression without using a calculator.eln(-1)
Indicate whether each graph in Problem specifies a function. -10 -5 -10 in. 5 -5 -10 5 10
In Problem graph each of the functions using the graphs of functions f and g below.y = -g(x) f(x) g(x) -5 -5 5 -5 -5
What is the maximum number of x intercepts that a polynomial of degree 7 can have?
Indicate whether each graph in Problem specifies a function. -10-5 10 5 -10 5 10
In Problem valuate the expression without using a calculator.ln e-3
In Problem find each of the following:(A) Intercepts (B) Vertex(C) Maximum or minimum (D) Rangef(x) = - (x - 3)2 + 2
In Problem graph each of the functions using the graphs of functions f and g below.y = -f(x) f(x) g(x) -5 -5 5 -5 -5
In Problem valuate the expression without using a calculator. log2 64
What is the maximum number of x intercepts that a polynomial of degree 10 can have?
Indicate whether each graph in Problem specifies a function. -10 +10 -10 5. 10 X
In Problem graph each of the functions using the graphs of functions f and g below.y = f(x) + 3 f(x) g(x) -5 -5 5 -5 -5
Indicate whether each graph in Problem specifies a function. -10-5 10 -10 +5 +10 X
In Problem valuate the expression without using a calculator.log2 128
In Problem graph each of the functions using the graphs of functions f and g below.y = g(x) -3 f(x) g(x) -5 -5 5 -5 -5
In Problem valuate the expression without using a calculator.log10 10,000
Indicate whether each graph in Problem specifies a function. -10 -10 -10 5 10 X-
In Problem graph each of the functions using the graphs of functions f and g below.y = f(x + 3) f(x) g(x) -5 -5 5 -5 -5
In Problem valuate the expression without using a calculator. 1 log 10 100,000
Indicate whether each graph in Problem specifies a function. -10 -5 10 -5 -10 ++5: 5 10 X
In Problem graph each of the functions using the graphs of functions f and g below.y = g(x - 3) f(x) g(x) -5 -5 5 -5 -5
In Problem valuate the expression without using a calculator. 1 log10 1,000
Indicate whether each table in Problem specifies a function. Domain Range 3 5 1 2
Match each equation with a graph of one of the functions f, g, m, or n in the figure.(A) y = (x - 3)2 - 4 (B) y = - (x + 3)2 + 4(C) y = - (x - 3)2 + 4 (D) y = (x + 3)2 - 4
In Problem graph each of the functions using the graphs of functions f and g below.y = g(x - 1) f(x) g(x) -5 -5 5 -5 -5
Indicate whether each table in Problem specifies a function. Domain Range 3 5 1 2
Match each equation with a graph of one of the functions f, g, m, or n in the figure.(A) y = - (x + 2)2 + 1 (B) y = (x - 2)2 - 1(C) y = (x + 2)2 - 1 (D) y = - (x - 2)2 + 1 -5
In Problem valuate the expression without using a calculator.log10 1,000,000
In Problem graph each of the functions using the graphs of functions f and g below.y = f(x + 2) f(x) g(x) -5 -5 5 -5 -5
Indicate whether each table in Problem specifies a function. Domain Range 3 5 1 2
In Problem write a brief verbal description of the relationship between the graph of the indicated function and the graph of y = x2.n(x) = -x2 + 8x - 9
In Problem graph each of the functions using the graphs of functions f and g below.y = g(x) - 1 f(x) g(x) -5 -5 5 -5 -5
Indicate whether each table in Problem specifies a function. Domain Range 3 5 1 2
In Problem write a brief verbal description of the relationship between the graph of the indicated function and the graph of y = x2.m(x) = -x2 + 6x - 4
In Problem graph each of the functions using the graphs of functions f and g below.y = f(x) + 2 f(x) g(x) -5 -5 5 -5 -5
For Problem rewrite in equivalent logarithmic form.9 = 272/3
In Problem solve for the indicated variable.Ax + By = C; for y (B ≠ 0)
In Problem for each polynomial function find the following:(A) Degree of the polynomial(B) All x intercepts(C) The y interceptf(x) = 7x + 21
In Problem find the vertex form of each quadratic function by completing the square.f(x) = x2 - 10x
In Problem use point-by-point plotting to sketch the graph of each equation.y = x + 1
For Problem rewrite in equivalent exponential form.log3 27 = 3
In Problem find the domain and range of each function.f(x) = 1 + √x
In Problem find the vertex form of each quadratic function by completing the square.f(x) = x2 + 16x
In Problem use point-by-point plotting to sketch the graph of each equation.x = y + 1
For Problem rewrite in equivalent exponential form.log2 32 = 5
In Problem for each polynomial function find the following:(A) Degree of the polynomial(B) All x intercepts(C) The y interceptf(x) = x2 + 9x + 20
In Problem find the domain and range of each function.f(x) = 7 - 2x
In Problem find the vertex form of each quadratic function by completing the square.f(x) = x2 + 20x + 50
In Problem use point-by-point plotting to sketch the graph of each equation.x = y2
For Problem rewrite in equivalent exponential form.log10 1 = 0
In Problem for each polynomial function find the following:(A) Degree of the polynomial(B) All x intercepts(C) The y interceptf(x) = 30 - 3x
In Problem find the domain and range of each function.f(x) = x2 + 10
In Problem find the vertex form of each quadratic function by completing the square.f(x) = x2 - 12x - 8
In Problem use point-by-point plotting to sketch the graph of each equation.y = x2
For Problem rewrite in equivalent exponential form.loge 1 = 0
In Problem for each polynomial function find the following:(A) Degree of the polynomial(B) All x intercepts(C) The y interceptf(x) = x2 + 2x6 + 3x4 + 15
In Problem find the domain and range of each function.f(x) = 8 - √x
In Problem find the vertex form of each quadratic function by completing the square.f(x) = 2x2 + 4x - 5
In Problem use point-by-point plotting to sketch the graph of each equation.y = x3
For Problem rewrite in equivalent exponential form.log4 8 = 3/2
In Problem for each polynomial function find the following:(A) Degree of the polynomial(B) All x intercepts(C) The y interceptf(x) = 5x6 + x4 + 4x8 + 10
In Problem find the domain and range of each function.f(x) = 5x + 3
In Problem find the vertex form of each quadratic function by completing the square.f(x) = 3x2 + 18x + 21
In Problem use point-by-point plotting to sketch the graph of each equation.x = y3
For Problem rewrite in equivalent exponential form.log9 27 = 3/2
In Problem for each polynomial function find the following:(A) Degree of the polynomial(B) All x intercepts(C) The y interceptf(x) = x2 (x + 6)3
In Problem find the domain and range of each function.f(x) = 27 + 3√x
In Problem find the vertex form of each quadratic function by completing the square.f(x) = 2x2 + 2x + 1
In Problem use point-by-point plotting to sketch the graph of each equation.xy = -6
For Problem rewrite in equivalent logarithmic form.49 = 72
In Problem for each polynomial function find the following:(A) Degree of the polynomial(B) All x intercepts(C) The y interceptf(x) = (x - 5)2 (x + 7)2
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