Common Core Standard HSF-IF.C.8 Questions

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Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

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Sketch the function

$h(t)$ , and fully label the graph. Indicate the maximum and intercepts, and state what these represent in terms of the rocket's flight.

Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

Factor the function

$f(x)=3x^2-30x+65$ .

Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

Factor the quadratic function and find the zeros:

$f(x)=4x^2−25$

Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

Given

$f(x) = 2x^2 - 8x + 6$ , factor the quadratic function and find the zeros.

Zeros: 2, 3
Zeros: 1, 3
Zeros: 1, 2
Zeros: -1, 3

Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

Factor the quadratic function and find the zeros:

$f(x)=x^2−6x+9$

Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

Rewrite

$f(x)=2x^2−8x+7$ in vertex form.

$2(x−2)^2+3$
$2(x+2)^2+3$
$2(x−2)^2 -1$
$2(x+2)^2-1$

Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

Find the vertex of the quadratic function

$f(x)=−x^2+4x+5$

(2,9)
(-2,1)
(2,5)
(1,9)

Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b

Simplify

$f(x)=(2^x)(8^(x/3))$ , and determine the growth rate.

50%, growth
100%, growth
200%, growth
300%, growth

Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b

A principal of $10,000 is invested in an account paying 4% interest compounded monthly. What is the rate of change of the function?

4%
4.12%
5%
4.05%

Grade 11 Exponents CCSS: HSF-IF.C.8, HSF-IF.C.8b

If an initial investment of $5,000 earns 6% interest compounded monthly, what is the function to model this situation?

$A(t)=5000(1+0.06/12)^(12t$
$A(t)=5000(1-0.06/12)^(12t$
$A(t)=5000(1+0.6)^(12t$
$A(t)=5000(1+0.06/6)^(12t$

Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b

Given the function

$y=(0.93)^t$ , what is the percent rate of change, and does it represent growth or decay?

7%, growth
7%, decay
0.93%, decay
93%, growth

Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b

Account I offers 3.5% interest compounded quarterly. Account II offers 3.8% interest compounded annually. Which account has a higher effective rate?

Account I
Account II
Both grow at the same rate
Cannot be determined

Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b

Which of the following functions represents exponential grow?

$f(x) = (0.75)^x$
$f(x) = (1.15)^x$
$f(x) = 2^(-x)$
$f(x) = e^(-x)$

Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b

$f(x) = (3^(2x)) (9^(-x ))$ what type of change does the function represent?

Exponential growth
Exponential decay
Constant
Linear growth

Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b

Simplify the function

$f(x) = (3^x)(9^(x/2))$ and identify the rate of change.

100%, growth
50%, decay
100%, decay
50%, growth

Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

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Use the method of completing the square to find the vertex form of the function

$h(d)$ . Round computed coefficients and terms to one decimal place, if necessary.

$h(d) = -0.0013(d + 246.2)^2 + 0.2$
$h(d) = (-0.0013d - 0.6)^2 + 0.2$
$h(d) = -0.0013 ( d^2 -246.2) - 60","594.6$
$h(d) = -0.0013(d - 246.2)^2 + 78.9$

Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

Factor the function

$f(x)=2x^2-98$ .

Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

What is the vertex of the quadratic function

$f(x)= 2(x+3)^2−2$ ?

$Vertex: (3,−2)$
$Vertex: (−3,−7)$
$Vertex: (−3,−2)$
$Vertex: (−2,−3)$

Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

Identify the vertex

$3(x - 2)^2 + 3$ .

Vertex: (2, -3)
Vertex: (2, 3)
Vertex: (-2, -3)
Vertex: (-2, 3)

Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a

Factor and find the zeros of

$f(x)=x^2−10x+25$

Zeros: x=0,5
Zeros: x= 5
Zeros: x=5,0
Zeros: x=10, 25

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Common Core Standard HSF-IF.C.8 Questions

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