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Eleventh Grade (Grade 11) Functions and Relations Questions

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Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of the following function. [math]f(x) = 4x^3 + 2[/math]
  1. [math]f^{-1}(x) = (x^3-2)/4[/math]
  2. [math]f^{-1}(x) = (root[3](x) - 2)/4[/math]
  3. [math]f^{-1}(x) = root[3]((x-2)/4) [/math]
  4. [math]f^{-1}(x) = root[3](x-2)/4[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
Grade 11 Functions and Relations CCSS: HSF-IF.C.7e
What type of function models exponential growth?
  1. Linear function
  2. Logarithmic function
  3. Power function
  4. Exponential function
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
What is the inverse of the function f(x) = 3 - 2x[/math]?
  1. [math]f^-1(x) = (3 - x)/2[/math]
  2. [math]f^-1(x) = (x - 3)/2[/math]
  3. [math]f^-1(x) = 2x - 3[/math]
  4. [math]f^-1(x) = 2x + 3[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.A.3
What is a function?
  1. A function is a rule that assigns to each input exactly one output.
  2. A function is a set of ordered pairs.
  3. A function is a graph.
  4. A function is a mapping from a set to itself.
Grade 11 Functions and Relations CCSS: HSF-IF.C.7e
How does the exponential function differ from a linear function?
  1. Exponential functions grow at a constant rate, while linear functions grow at a changing rate
  2. Exponential functions grow at an increasing rate, while linear functions grow at a constant rate
  3. Exponential functions grow at a decreasing rate, while linear functions grow at a constant rate
  4. Exponential functions grow at a constant rate, while linear functions grow at an increasing rate
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
Which of the following is equivalent to [math](f o g)(x)[/math]?
  1. [math]f(g(x))[/math]
  2. [math]g(f(x))[/math]
  3. [math]f(x)g(x)[/math]
  4. [math]f(x) + g(x)[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.A.3
What is the composition of the functions [math]f(x) = x^2 + 1 and g(x) = 2x + 3[/math]?
  1. [math](f o g)(x) = (x^2 + 1) + (2x + 3)[/math]
  2. [math](f o g)(x) = x^2 + 2x + 4[/math]
  3. [math](f o g)(x) = (x^2 + 1) xx (2x + 3)[/math]
  4. [math](f o g)(x) = (2x + 3)^2 + 1[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
What is the range of the function? {(5,1), (6,2), (7,3)}
  1. {1, 2, 3}
  2. {5, 6, 7}
  3. {1, 2, 3, 5, 6, 7}
  4. {1, 7}
Grade 11 Functions and Relations CCSS: HSF-IF.B.5
What is the domain and range of the graphed function?
Graph - Quadratic Function y=-2x^2
  1. Domain and range are all real numbers.
  2. Domain is all real numbers less than zero and range is all real numbers.
  3. Domain is all real numbers and range is all real numbers equal to or less than zero.
  4. None of the above.
Grade 11 Functions and Relations CCSS: HSF-IF.C.7e
Which of the following formulas represents exponential growth?
  1. [math]y = mx + b [/math]
  2. [math]y = ab^x[/math]
  3. [math]y = ax^2 + bx + c[/math]
  4. [math]y = a/x [/math]
Grade 11 Functions and Relations CCSS: HSF-IF.C.7e
Grade 11 Functions and Relations CCSS: HSF-IF.C.7e
Grade 11 Functions and Relations CCSS: HSF-IF.C.7e
What is the impact of inflation on investment returns?
  1. Inflation has no impact on investment returns.
  2. Inflation increases investment returns.
  3. Inflation reduces the purchasing power of investment returns.
  4. Inflation has no effect on the nominal value of investment returns, but reduces the real value.
Grade 11 Functions and Relations CCSS: HSF-IF.C.7e
What is the difference between exponential growth and exponential decay?
  1. Exponential growth increases while exponential decay decreases
  2. Exponential growth occurs when the rate of change is proportional to the size of the function, while exponential decay occurs when the rate of change is proportional to the size of the function with a negative sign
  3. Exponential growth occurs when the rate of change is constant, while exponential decay occurs when the rate of change is not constant
  4. There is no difference between exponential growth and exponential decay
Grade 11 Functions and Relations
What is the formula for calculating compound interest?
  1. Principal * Rate * Time
  2. Principal * (1 + Rate/n)^(nt)
  3. Principal / (1 + Rate/n)^(nt)
  4. Principal * Rate^Time
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
Which of the following relations IS a function?
  1. [math]{(-5,1), (0, -3), (-2, 1), (10,11), (7, 1)}[/math]
  2. [math]{(9, 3), (6, 2), (3, 2), (3, 1), (6, -2)}[/math]
  3. [math]{(4, 9), (5, 3), (-2, 0), (5, 4), (8, 1)}[/math]
  4. All of the relations are functions.
  5. None of the relations are functions.
Grade 11 Functions and Relations CCSS: HSF-IF.B.5
What is the domain of the function? Assume 1 unit intervals for both axes.
Graph - Square Root Function y=sqrt x
  1. All real numbers
  2. [math](-oo,0)[/math]
  3. [math] [0, +oo)[/math]
  4. [math](-oo, +oo)[/math]
Grade 11 Functions and Relations
What is the most common function notation for an equation of a linear function?
  1. y = mx + b
  2. y = ax + bx + c
  3. f(x) = mx + b
  4. f(x) = a(x - h) + k
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