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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 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.7, HSF-IF.C.7a
Graph the function f(x)=-x2-3x.
Coordinate Plane - 10x10 - Blank
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 piecewise function with one piece being a horizontal line from x = 0 to x = 2 and the other piece being a vertical line at x = -3?
  1. All real numbers except 2 and -3
  2. All real numbers
  3. [0, 2] U [-3, infinity)
  4. [0, 2] U (-infinity, -3)
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.C.7a
What is the main purpose of determining the intervals on which a function is increasing or decreasing?
  1. To find the domain of the function.
  2. To identify the minimum and maximum values of the function.
  3. To locate the zeros of the function.
  4. To determine the intercepts of the function.
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.C.7a
Which of the following is a consequence of the Intermediate Value Theorem?
  1. If a function is continuous, then it must have a maximum or minimum value.
  2. If a function is differentiable, then it must have a zero.
  3. If a function is increasing, then it must have a positive slope.
  4. 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.
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 rational function with a vertical asymptote at x = 2 and a hole at x = 4?
  1. All real numbers
  2. (-infinity, 2) U (2, 4) U (4, infinity)
  3. (-infinity, 2) U (2, infinity)
  4. (-infinity, 4) U (4, infinity)
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.C.7a
How do you find the intervals on which a function is increasing or decreasing?
  1. By finding the intercepts of the function.
  2. By identifying the domain and range of the function.
  3. By examining the sign of the derivative of the function.
  4. By using the intermediate value theorem.
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.C.7a
Which of the following functions does not have any zeros?
  1. f(x) = sin(x)
  2. f(x) = e^x
  3. f(x) = x^2 - 4x + 3
  4. f(x) = 1/x
Grade 9 Linear Equations CCSS: HSF-IF.C.7, HSF-IF.C.7a
Which of the following pieces of information would be enough to graph a linear function? Choose all correct answers.
  1. The location of two points.
  2. The slope and location of one point.
  3. The location of one point, and whether the function is increasing or decreasing.
  4. The slope and whether the function passes through the origin or not.
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.C.7a
Which of the following functions is decreasing on the interval (0, 3)?
  1. f(x) = x^2
  2. f(x) = -2x + 5
  3. f(x) = e^x
  4. f(x) = sin(x)
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