Functions Question Preview (ID: 52729)
First Test.
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Is the following a Function? (2,3) (4,7) (3,9) (5,7)
a) yes
b) no
c)
d)
Which point will make the following not a function? (3,7) (2,4) (5,2) (6,3)
a) (10,12)
b) (3,12)
c) (8,7)
d) (9,12)
A function is a relation where the input is mapped to ________ output
a) one
b) many
c) all
d)
What is the domain
a) output values
b) input values
c) home
d)
What is range
a) output vaues
b) input values
c) space
d)
What is the domain for the following function? (2,3) (4,7) (3,9) (5,7)
a) 3,7,9
b) 2,3,4,5
c)
d)
What is the range for the following function? (2,3) (4,7) (3,9) (5,7)
a) 3,7,9
b) 2,3,4,5
c)
d)
If f(x) = 4x - 3. find f(9)
a) 10
b) 3
c) 33
d) 10
If f(x) = 4x - 3. find f(-4)
a) 10
b) -19
c) -25
d) -3
Evaluate f(x)=-2t^2+ 1 for f(2)
a) 9
b) -17
c) 17
d) -7
Given the functions f(x) = x^2 − 8 and g (x) = −2 − x^2 , determine the equation for the combined function y = f(x) + g (x).
a) −6 − 2x^2
b) −10
c) 16 − x^4
d) 4 − x
Given the functions f(x) = x^3 − 81x and g (x) = x + 9, determine the simplified equation for the combined function y = f(x)/g (x) .
a) x(x + 9), x ≠ −9
b) x(x − 9), x ≠ −9
c) x/(x − 9) , x ≠ −9, 9
d) x/(x + 9) , x ≠ −9
Given the functions f(x) = x + 3 and g (x) = 1/(x − 3), what is the simplified form of f(g(x))?
a) f(g(x)) = − 8/x , x ≠ 0
b) f(g(x)) = (3x − 8)/((x + 3) , x ≠ −3
c) f(g(x)) = (3x − 8)/(x − 3) , x ≠ 3
d) f(g(x)) = 1/x , x ≠ 0
Given the functions f(x) = x^2 − 8 and g (x) = −5 − x, determine an equation for the combined function h (x) = f(g (x)).
a) y = x^2 + 10x + 17
b) y = −x^2 − 13
c) y = −x^2 + 3
d) y = x^2 − 10x + 3
Given f(x) = 9x^2 + 7x and g (x) = 2 − x, determine 5g(x) − f(x)
a) 45x^2 + 36x − 2
b) 9x^2 + 6x + 2
c) 45x^2 + 6x − 5
d) −9x^2 − 12x + 10
For f(x) = 2x + 3 and g(x) = -x^2 + 1, find the composite function defined by (f o g)(x)
a) - 2x^2 + 5
b) 2x^3 + 5
c) x^2 + 4
d) -2x^2 - 5
If f(x) = 2x + 1 and g(x) = x+1, evaluate f(g(4)).
a) 11
b) 10
c) 19
d) 9
If f(x) = 2x + 1 and g(x) = x + 1, write the composite function f(f(x)).
a) f(f(x)) = 4x+3
b) f(f(x)) = 4x+4
c) g(g(x)) = x+2
d) f(g(x)) = 2x+3
If f(x) = x/2 and g(x) = x + 5, evaluate g(f(6)).
a) 8
b) 11/12
c) 3
d) 11
Which of the following is the inverse relation to the set of ordered pairs (–10, 5), (–7, 9), (0, 6), (8, –12)?
a) (5, –10), (9, –7), (6, 0), (–12, 8)
b) (–10, –5), (–7, –9), (0, –6), (8, 12)
c) (10, –5), (7, –9), (0, –6), (–8, 12)
d) (–5, 10), (–9, 7), (–6, 0), (12, –8)
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