Common Core Standard HSF-IF.C.8 Questions

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

Factor the quadratic function

$f(x)=x^2−2x−24$ , and find the zeros.

Zeros: x=6,−4
Zeros: x=-6,4
Zeros: x=-8, 3
Zeros: x=0, 5

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

Rewrite the quadratic function

$f(x)=3x^2+6x+2$ in vertex form.

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

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

Simplify

$f(x)=(3^2)^x(3^(-x))$ , and determine if this represents growth or decay.

Constant function
Exponential decay
Exponential growth
Undefined function

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

Simplify

$f(x)=(12)^x(6^(-x))$ , and determine the percent rate of change.

200%, growth
100%, decay
100%, growth
50%, decay

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

The function

$y=(1.2)^(t/10$ represents exponential growth or decay? What is the percent rate of change?

20%, growth
2%, growth
1.2%, decay
0.12%, growth

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

Rewrite

$f(x)=(3^(2x))(2^(-2x)$ , and determine the rate of change.

100%, decay
25%, decay
50%, growth
Constant function

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

Given the function

$y=(1.015)^(12t$ , what is the annual percent rate of change?

1.5%, growth
15%, growth
18.15%, growth
21%, growth

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

Given

$f(t) = 1200(0.85)^t$ , does the function represent exponential growth or decay, and what is the rate of change?

15%, growth
15%, decay
85%, growth
0.85%, growth

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

Which of the following functions represents a 15% growth per unit time?

$y = (0.85)^t$
$y = (1.15)^t$
$y = (0.15)^t$
$y = (2.15)^t$

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

The function

$y = (1.05)^(t/2)$ represents interest compounded semiannually. What is the annual percent rate of growth?

2.5%
5%
10%
10.25%

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

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

Which of the following is the correct fully factored form of the function

$h(t) ?$

$h(t) = (2.2t - 5.5)(2.2 + 5.5)$
$h(t) = 4.9(t^2 + 6.1t)$
$h(t) = -4.9t (t - 6.1)$
$h(t) = (-4.9t - 3)(t + 10)$

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

An investment that is paid compound interest can be modeled by the function

$A(t) = P*(1+r/n)^{n \ t}$ , where

$A$ is the current value of the investment after

$t$ years,

$P$ is the initial amount invested or principal, r is the interest rate, and

$n$ is the number of compounding periods per year. $3,000 is invested in two accounts, Account I which pays 5% interest compounded quarterly, and Account II which pays 5% interest compounded yearly. Using the above function to model these two investments, which function has a greater percent rate of change?

Account I, at 5%.
Account II, at 20%.
Account II, at about 22%.
Account II, at about 5.1%.

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

Factor

$f(x) = x^2 + 7x + 10$ and find the zeros.

$Zeros: 5, -2$
$Zeros: -10, -7$
$Zeros: -5, -2$
$Zeros: -7, -5$

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

Complete the square and rewrite the function in vertex form:

$f(x)=2x^2−8x+6$

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

Complete the square and find the minimum value of the function:

$f(x)=3x^2+12x+9$

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

Factor

$f(x)=x^2−5x+6$ and find the zeros.

x=1,6
x=2,3
x=3,4
x=-2,5

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

Factor the quadratic function and find the zeros:

$f(x)=x^2−7x+10$

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

For the function

$y=(1.03)^(12t$ the annual growth rate is__.

3%
36%
12%
1.03%

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

An initial investment of $2,000 is placed in an account with 6% interest compounded annually. What is the function to model this investment after t years?

$A(t)=2000(1+0.06)^t$
$A(t)=2000(1-0.06)^t$
$A(t)=2000(0.06)^(-t$
$A(t)=2000(1+0.6)^t$

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

Given the compound interest function

$A(t)=2000(1+0.03/4)^(4t$ , what is the interest rate, and how often is it compounded?

3%, quarterly
12%, annually
3%, annually
4%, quarterly

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Common Core Standard HSF-IF.C.8 Questions

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