Unit 4 College Algebra questions with
answers
Graphing an exponential function and its asymptote: f(x)=bx - answers1. The domain is
unrestricted, so you should start with the standard "spectrum" table having x values
from -2 to 2. Do the calculations and plot the points (multiply straight across and flip if
you multiply by a negative)
2. You must also place the asymptote into your final product. For the basic common
exponential
functions, the x-axis is the asymptote
Translating the graph of an exponential function - answers1. To graph y = f(x-a), shift
the graph to the right a units
2. To graph y =f(x+a), shift the graph to the left a units
3. To graph y=g(x) + b, shift the graph up b units
4. To graph y=g(x) - b, shift the graph down b units
The graph, domain, and range of an exponential function - answers1. Graph the initial
graph with points of 0 and 1
2. Translate/reflect the graph
3. Put asymptote at +b/-b
4. Domain = x-axis
5. Range = y-axis (start at asymptote)
Transforming the graph of a natural exponential function - answers1. Translate/reflect
the graph (if - is on x, reflect across y/if - is on coefficient, reflect across x)
2. Put asymptote at +b/-b
3. Domain = x-axis
4. Range = y-axis (start at asymptote)
Evaluating an exponential function that models a real-world situation - answers1. Plug in
the number given for t (if it's initial, plug in 0 for t)
2. Evaluate to solve
Evaluating an exponential function with base e that models a real-world situation -
answers1. Plug in the number given for t (if it's initial, plug in 0 for t)
2. Evaluate to solve
Finding the final amount in a word problem on compound interest - answers1. Use
compound interest formula A=P(1+r/n)^n*t
2. Plug everything in
3. Evaluate to solve (pay attention to rounding)
answers
Graphing an exponential function and its asymptote: f(x)=bx - answers1. The domain is
unrestricted, so you should start with the standard "spectrum" table having x values
from -2 to 2. Do the calculations and plot the points (multiply straight across and flip if
you multiply by a negative)
2. You must also place the asymptote into your final product. For the basic common
exponential
functions, the x-axis is the asymptote
Translating the graph of an exponential function - answers1. To graph y = f(x-a), shift
the graph to the right a units
2. To graph y =f(x+a), shift the graph to the left a units
3. To graph y=g(x) + b, shift the graph up b units
4. To graph y=g(x) - b, shift the graph down b units
The graph, domain, and range of an exponential function - answers1. Graph the initial
graph with points of 0 and 1
2. Translate/reflect the graph
3. Put asymptote at +b/-b
4. Domain = x-axis
5. Range = y-axis (start at asymptote)
Transforming the graph of a natural exponential function - answers1. Translate/reflect
the graph (if - is on x, reflect across y/if - is on coefficient, reflect across x)
2. Put asymptote at +b/-b
3. Domain = x-axis
4. Range = y-axis (start at asymptote)
Evaluating an exponential function that models a real-world situation - answers1. Plug in
the number given for t (if it's initial, plug in 0 for t)
2. Evaluate to solve
Evaluating an exponential function with base e that models a real-world situation -
answers1. Plug in the number given for t (if it's initial, plug in 0 for t)
2. Evaluate to solve
Finding the final amount in a word problem on compound interest - answers1. Use
compound interest formula A=P(1+r/n)^n*t
2. Plug everything in
3. Evaluate to solve (pay attention to rounding)
