Name_____________________________________ Date ____________________ Period_______
A4-Graphing Exponential Functions
Graph each function on the same set of axes as the parent function. State the functions’ domain, range,
intercepts, and asymptote.
1
1) 𝑦 = 2 (3)𝑥
2) 𝑦 = 4𝑥−3
Domain: _________
Domain: _________
Range: __________
Range: __________
Asymptote: ______
Asymptote: ______
x-intercept: ______
x-intercept: ______
y-intercept: ______
y-intercept: ______
3) 𝑦 = 10𝑥+5
4) 𝑦 = 2𝑥 − 3
Domain: _________
Domain: _________
Range: __________
Range: __________
Asymptote: ______
Asymptote: ______
x-intercept: ______
x-intercept: ______
y-intercept: ______
y-intercept: ______
Without actually graphing describe how the graphs of the following functions are related to the graph 𝒚 = 𝟓𝒙.
5) 𝑦 = −(5)𝑥
6) 𝑦 = 2(5)𝑥
7) 𝑦 = 5𝑥+2
8) 𝑦 = 5𝑥−3 + 2
Match each function with the correct graph.
A
9) 𝑦 = 3𝑥 + 1
10) 𝑦 = 3𝑥 − 1
B
__________
__________
11) 𝑦 = 3𝑥−1 + 1 __________
Determine if the statement is sometimes, always, or never true.
12) For any given x-value, the graph of 𝑦 = 10𝑥 lies above the graph of 𝑦 = 2𝑥 .
13) For any given x-value, the y-value of 𝑦 = 2𝑥 is positive.
14) The domain of any exponential function 𝑦 = 𝑏 𝑥 , where 𝑏 > 1, is all real numbers.
C