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

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Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c

Which of the following is a possible method for checking the solutions to a quadratic equation?

Substitute the values into the equation and check that they make sense
Check that the graph of the equation intersects the x-axis at the given points
Solve the equation using a different method and check that the solutions are the same
All of the above

Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c

A ball is thrown horizontally from a height of 10 meters with an initial velocity of 20 meters per second. The ball's horizontal distance (in meters) from its starting point after t seconds is given by the function x(t) = 20t. What is the maximum distance the ball can travel horizontally before hitting the ground?

50 meters
100 meters
200 meters
400 meters

Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c

What is the constant term in the polynomial function f(x) = x^3 - 4x^2 + 6x - 8?

8
6
-4
-8

Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c

What is the domain of the function y = ln(x)?

(0, ∞)
(−∞, 0) ∪ (0, ∞)
(−∞, 0)
(0, ∞) but x cannot be zero

Grade 10 Trigonometry CCSS: HSF-IF.C.7c

What is the amplitude of the function y = 2sin(4x)?

Grade 11 Functions and Relations CCSS: HSF-IF.C.7c

What is the inverse of the function

$f(x) = 2x - 1$ ?

$f^-1(x) = (x + 1)/2$
$f^-1(x) = (x - 1)/2$
$f^-1(x) = x/2 - 1$
$f^-1(x) = x/2 + 1$

Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7c

This question is a part of a group with common instructions. View group »

Using the result from the previous question, and the fact that 9 is also a zero of the function

$P(x)$ , use polynomial division to find the result of

$(P(x))/((x+8)*(x-9))$ .

$x^3 - 18x^2 + 141x - 1060$
$x^3 - 18x^2 - 183x - 1438$
$x^3 - 21x + 20$
$x^2 - 8x + 43$

Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c

Which of the following is NOT a possible number of solutions to a quadratic equation?

Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c

The profit P (in dollars) from selling x units of a product is given by the function P(x) = -0.5x^2 + 30x - 100. What is the maximum profit the company can earn?

$500
$625
$750
$1000

Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c

Which of the following statements is true about the polynomial function f(x) = -x^4 + 2x^2 + 3x - 1?

It has a local maximum at x = 1.
It has a local minimum at x = -1.
It has no local extrema.
It has both a local maximum and a local minimum.

Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c

What is the value of log(base 3)27?

Grade 11 Trigonometry CCSS: HSF-IF.C.7c

What is the inverse of the sine function?

cosine
tangent
secant
arcsine

Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7c

This question is a part of a group with common instructions. View group »

What are the remaining zeros of the function P(x)?

-5, 1, and 4
There are no more zeros.
1 and 4
-5 and 4

Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c

What is the vertex of the quadratic function f(x) = -2x^2 + 8x - 5?

(-2, 3)
(2, -3)
(2, 3)
(-2, -3)

Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c

A stone is thrown vertically upward from the edge of a cliff 50 meters high with an initial velocity of 20 meters per second. The height h (in meters) of the stone after t seconds is given by the function h(t) = -5t^2 + 20t + 50. What is the maximum height of the stone above the cliff?

20 meters
60 meters
80 meters
100 meters

Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c

Which of the following polynomial functions has a double root at x = 3?

f(x) = x^2 - 5x + 6
g(x) = (x - 3)^2 (x + 2)
h(x) = x^3 - 6x^2 + 11x - 6
k(x) = x^4 - 8x^3 + 23x^2 - 28x + 12

Grade 10 Function and Algebra Concepts CCSS: HSF-IF.C.7c

What is the equation of the line that passes through the points (1, 2) and (3, 5) in logarithmic form?

y = log(1/3)x + 2
y = log(2/5)x + 1
y = log(5/2)x + 3
y = log(5/2)x + 1

Grade 11 Trigonometry CCSS: HSF-IF.C.7c

What is the range of the inverse tangent function?

all real numbers
only positive numbers
from -π/2 to π/2
from 0 to π

Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7c

Graph:

$y=x(x+2)^2$

Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7c

Graph:

$y=2x^3-8x$

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

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