Common Core Standard HSF-BF.A.1 Questions

Select All Questions

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c

Given f(x) = 2x + 3 and

$g(x) = x^2 - 1$ , find (g∘f)(2).

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c

If f(x) = 3x + 2 and

$g(x) = (x - 2)/3$ , find (g∘f)(5).

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1b

$g(x)= 8x^2-3$ and

$f(x)= -4x^2$ .
Find

$(g + f) (x)$ .

$-32x^4-3$
$12x^4 - 3$
$4x^2 -3$
$4x^4 -3$

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c

$f(x) =7x+9 and g(x) = 4x-1$ . Find

$(f @ g)(x)$ .

$28x+8$
$28x+16$
$28x+2$
$28x+35$

Grade 10 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c

Let

$f(x)=x^2$ and

$g(x)=x-3$ . Find

$(g@f)(3.5)$ .

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c

$g(x) = 4/(2-x) and (g@f)(x) = -2/x^2$ , find

$f(x)$ .

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

Grade 10 Sequences and Series CCSS: HSF-BF.A.1, HSF-BF.A.1a, HSF-LE.A.2

Which of the following functions correctly describes the sequence

$1,3,5,9,13,21,...?$ Assume that

$n in NN$ .

$t(1) = 1, t(2) = 3; \ \ t(n) = 2t(n-2) + 3, n>2$
$t(1) = 1; \ \ t(n) = t(n-1) + 2, n>1$
$t(1)=1, t(2)=3; \ \ t(n) = t(n-2) + t(n-1) + 1, n>2$
$t(1) = 1; \ \ t(n) = t(n-1) + 2^(n-1), \ n>1$

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1b

Find

$(f+g)(x)$ if

$f(x) = 3x^2 - 9$ and

$g(x) = -7x + 1$ .

$3x^2 - 7x - 8$
$3x^2 - 8$
$3x^2 + 7x - 10$
$-4x^2 - 8$

Grade 10 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1b

Carol is looking to start a business that sells bicycles. She knows from doing research that, in her area, the price of a bike can be modeled by the function

$P(x) = 3000 - 4x$ , where

$x$ is the number of bikes. The function

$Q(x) = x$ shows how many bikes Carol's business may produce. Which of the following combined functions is the correct revenue function for Carol's business?

$R(x) = P(x)Q(x) = 3000x - 4x^2$
$R(x) = P(x) + Q(x) = 3000 - 3x$
$R(x) = P(x) - Q(x) = 3000 - 5x$
$R(x) = P(x)Q(x) = -4x^2 + 3000$

Grade 10 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c

$(f@g)(x) = 1/(x^2 + 2)$ , what could be the possible function rules for

$f(x)$ and

$g(x) ?$ There may be more than one correct answer.

$f(x) = 1/(x^2 + 1), \ \ g(x) = x+1$
$f(x) = 1/(sqrt(x)), \ \ g(x) =(x^2+2)^2$
$f(x) = 1/(x^2 + 2), \ \ g(x) = x$
$f(x) = 1/(x-1), \ \ g(x) = x^2 + 3$

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1a

A subscription service charges $10 per month plus a $20 sign-up fee. Write an explicit formula for the total cost, C(m), after m months.

C(m)=20m+10
C(m)=10m−20
C(m)=20+m
C(m)=10m+20

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1a

Clara invests $200 into a savings account with an interest rate of 5% compounded annually. How much will she have after 4 years? Round to the nearest cent.

$240.00
$243.10
$248.00
$243.32

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1a

A phone’s resale value decreases by 30% each year. If it was purchased for $1,000, what will it be worth after 2 years?

$490
$400
$500
$560

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c

$f(x)=x^2+3$ and g(x)=2x−5, what is (g∘f)(4)?

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c

For

$f(x) = 1/x$ and g(x) = x − 1, the domain of (g∘f)(x) is__.

x ≠ 0
x ≠ 1
All real numbers
x > 0

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c

If f(x) = √x and

$g(x) = x^3$ , find (f∘g)(4).

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c

For f(x) = √(x+1) and g(x) = x² - 1, find (f∘g)(2).

√3
2
3
1

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1b

$f(x)= -3x-5$ and

$g(x)= 4x$ . Find

$(f*g) (x)$ .

$1x -5$
$7x -5$
$12x^2 +20$
$-12x^2 - 20x$

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c

$f(x)=6/(x-4) and g(x)= 5/(4x)$ . Find

$(f @ g)(x)$ .

$(24x)/(5-16x)$
$(24x)/(5+16x)$
$(6x)/(5-16x)$
$(5x-20)/(24x)$

Grade 9 Functions and Relations CCSS: HSF-BF.A.1

Write a rule for the function.

${:("input " (x), 0, 1, 2, 3), ("output " (y), 2.2, 3.2, 4.2, 5.2):}$

$y = x-2.2$
$y = x + 2.2$
$y = x-6$
$y = x + 6$

Share/Like This Page

Browse Questions

Common Core Standard HSF-BF.A.1 Questions

Become a Pro subscriber to access Common Core questions