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Math 101 exam 1 Questions with Detailed Explanations (2026/2027)

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This document contains questions and verified answers for Math 101 exam 1 . It includes detailed explanations, revision-focused content, and exam preparation material suitable for 2026/2027 students.

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Math 101 exam 1

As compared to the graph of f(x)=x^2, the graph of g(x)=x^2+eight is shifted:
a.) down 8 gadgets
b.) left eight devices
c.) up 8 units
d.) right eight gadgets - ANS-up 8 units

if f(x)=-4x+five and g(x)=3x+four find:
a.) (f+g)(-1)
b.) (g/f)(-1) - ANS-a.) 10
b.) 1/nine

if f(x)=(three/x) and g(x)=5x-five, then (f*g)(x)
a.) 3/x(5x-five)
b.)five(3/x)-five
c.)three/5x -five
d.) three/(5x-5) - ANS-3/(5x-5)

if f(x)=2x^2+5x, discover f(a+three) and simplify - ANS-2a^2+17a+33

if the x-intercept of the graph of y=f(x) is at (2,zero) then the x-intercept of y=f(x-five) is at
_______
a.) (7,zero)
b.) (2,zero)
c.) (5,zero)
d.) (-three,zero) - ANS-(7,zero)

allow f(x)=3x-1 and g(x)=3x^2+6. Locate (f*g)(x). - ANS-9x^2+17

let f(x)=x^2. Write the equation of g(x) received by means of making use of the following
changes to f(x)
shift left via 10; stretch vertically through a aspect of one/three - ANS-g(x)=1/three (x+10)^2

show an algebraic check to determine if f(x)=3x^three-x^2-5x-7 is even, peculiar, or neither. -
ANS-neither

solve the following6-3x3<_8 - ANS-a.) x=-1/3 or x=thirteen/three
b.) -five/6<_x<_11/6

the featurexordinary feature
b.) has a limited domain
c.) is growing
d.) is symmetric with appreciate to the y-axis - ANS-is symmetric with recognize to the y-axis

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