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MATH 115 EXAM 1 Questions and Correct
Answers/ Latest Update / Already Graded
Functions
Ans: One output for every input, must pass vertical line test,
Interval Notation
Ans: ( a , b ) = { x : a < x < b }
[a,b]={x:a≤x≤b}
Linear Functions
Ans: f(x) = mx + b
Slope
Ans: m = ∆y / ∆x
In words: For every additional unit of x, y increases/decreases
by m units
Monotonicity
Ans: Function either entirely increases or decreases; parabolas
don't have
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Proportionality
Ans: y = kx where k ≠ 0
Concave Up
Ans: U shape ; graph bends upwards moving left to right
Concave Down
Ans: n shape ; graph bends downwards moving left to right
Exponential Functions
Ans: P = P₀a^t
When a > 0, exponential growth
When a < 0, exponential decay
P₀ = initial value
a = growth/decay factor
t = time
Half Life Formula
Ans: N = N₀(1/2)^(t/hl)
All rights reserved © 2025/ 2026 |
MATH 115 EXAM 1 Questions and Correct
Answers/ Latest Update / Already Graded
Functions
Ans: One output for every input, must pass vertical line test,
Interval Notation
Ans: ( a , b ) = { x : a < x < b }
[a,b]={x:a≤x≤b}
Linear Functions
Ans: f(x) = mx + b
Slope
Ans: m = ∆y / ∆x
In words: For every additional unit of x, y increases/decreases
by m units
Monotonicity
Ans: Function either entirely increases or decreases; parabolas
don't have
All rights reserved © 2025/ 2026 |
, Page |2
Proportionality
Ans: y = kx where k ≠ 0
Concave Up
Ans: U shape ; graph bends upwards moving left to right
Concave Down
Ans: n shape ; graph bends downwards moving left to right
Exponential Functions
Ans: P = P₀a^t
When a > 0, exponential growth
When a < 0, exponential decay
P₀ = initial value
a = growth/decay factor
t = time
Half Life Formula
Ans: N = N₀(1/2)^(t/hl)
All rights reserved © 2025/ 2026 |
