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Common Core Standard HSF-IF.C.7a Questions

Graph linear and quadratic functions and show intercepts, maxima, and minima.

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Grade 11 Functions and Relations CCSS: HSF-IF.C.7a
What is the range of a function represented by a graph that is a cubic function with a local maximum at (-2, 5) and a local minimum at (1, 1)?
  1. (-infinity, 5] U [1, infinity)
  2. [1, 5]
  3. [1, infinity)
  4. (-infinity, 5]
Grade 9 Linear Equations CCSS: HSF-IF.C.7, HSF-IF.C.7a
5x+3y=712
Graph 10x10
Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.7, HSF-IF.C.7a
When graphing a quadratic function, it does not extend to all values of x.
  1. True
  2. False
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.C.7a
What is the domain of a function represented by a graph that is a decreasing exponential function with a vertical asymptote at x = 2?
  1. (-infinity, 2)
  2. (2, infinity)
  3. All real numbers except 2
  4. All real numbers
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.C.7a
What is the x-intercept of the function y = 3x^2 - 27?
  1. (0, -27)
  2. (-9, 0)
  3. (9, 0)
  4. (-27, 0)
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.C.7a
Which of the following functions has at least one zero in the interval [0, 1]?
  1. f(x) = x^2 + 1
  2. f(x) = 1/x
  3. f(x) = e^x
  4. f(x) = x^3 - 2x^2 + x
Grade 10 Linear Equations CCSS: HSF-IF.C.7, HSF-IF.C.7a
Graph: 4x - y = 8
Graph Numbered through 10
Grade 9 Linear Equations CCSS: HSF-IF.C.7, HSF-IF.C.7a
x-12y=3
Graph 10x10
Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.7, HSF-IF.C.7a
If f(x) is a quadratic function, which has two distinct x-intercepts when graphed, which of the following is true?
  1. The x-value of the vertex is the average of the two x-intercepts.
  2. The y-value of the vertex will be greater than the value of either x-intercept.
  3. The vertex of the function will lie on the y-axis.
  4. The x-intercepts have no special relation to the vertex.
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.C.7a
What is the y-intercept of the function y = -5x + 10?
  1. (0, -5)
  2. (-10, 0)
  3. (10, 0)
  4. (0, 10)
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.C.7a
The function f(x) = x^3 - 6x^2 + 11x - 6 has three zeros, a, b, and c, where a < b < c. If f(a) = 0 and f(c) = 0, what can be said about f(b)?
  1. f(b) < 0
  2. f(b) > 0
  3. f(b) = 0
  4. There is not enough information to determine the value of f(b).
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.C.7a
What is the domain of a function represented by a graph that is a parabola opening downwards with vertex at (5, -3)?
  1. All real numbers
  2. (-infinity, 5] U [5, infinity)
  3. (-infinity, 5)
  4. [5, infinity)
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.C.7a
What is the x-intercept of the function y = 2x - 10?
  1. (0, -10)
  2. (-5, 0)
  3. 0(5, 0)
  4. (-10, 2)
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.C.7a
Which of the following statements is false regarding the Intermediate Value Theorem?
  1. It is a theorem about continuous functions.
  2. It is used to find zeros of functions.
  3. It states that if a function is continuous and takes on values of opposite signs at two points in an interval, then it must have at least one zero in that interval.
  4. It only applies to polynomial functions.
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