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Eleventh Grade (Grade 11) Function and Algebra Concepts 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 Complex Numbers CCSS: HSN-CN.A.2
Add the complex numbers. [math](-3+7i) + (3 - i)[/math]
  1. [math]6i[/math]
  2. [math]6 + 8i[/math]
  3. [math]-6 + 6i[/math]
  4. [math]6 + 6i[/math]
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is an asymptote of a function?
  1. A line that the function approaches but never reaches
  2. A line that the function intersects
  3. The slope of a function
  4. The inverse of a function
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 Polynomials and Rational Expressions
Factor the following polynomial.

[math]x^3-x^2-8x+12[/math]
  1. [math](x+3)(x-2)^2[/math]
  2. [math](x+3)(x-2)(x+1)[/math]
  3. [math](x-3)(x+1)(x-5)[/math]
  4. [math](x-1)(x-2)(x+4)[/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 Exponents
Solve. [math]5^(3x-1)*5^(2x-5)=5^(x+6)[/math]
  1. [math]x = 0[/math]
  2. [math]x = 1/5[/math]
  3. [math]x = 2[/math]
  4. [math]x = 3[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Subtract the complex numbers. [math]3i - (-5 + 3i)[/math]
  1. [math]5[/math]
  2. [math]-5 - 6i[/math]
  3. [math]5 + 6i[/math]
  4. [math]-5[/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.C.7e
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
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