Graphs of Exponential Functions (VCE SSCE Mathematical Methods): Quizzes

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Graphs of Exponential Functions
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What is the y-intercept of any exponential function of the form y=axy = a^x?

(0,1)(0, 1)

What is the range of the exponential function y=2xy = 2^x?

R+\mathbb{R}^+ (positive real numbers)

As xx \to -\infty for y=3xy = 3^x, what happens to yy?

y0+y \to 0^+

Does the graph of y=2xy = 2^x have an x-intercept?

No, it never touches the x-axis

How does y=10xy = 10^x compare to y=2xy = 2^x for the same x-value?

y=10xy = 10^x grows more rapidly

For y=(12)xy = (\frac{1}{2})^x, as x increases, what happens to y?

y decreases toward zero

The graph of y=(12)xy = (\frac{1}{2})^x is the reflection of which graph in the y-axis?

y=2xy = 2^x

What is the horizontal asymptote of y=2x+3y = 2^x + 3?

y=3y = 3

What is the range of y=3x+2y = -3^x + 2?

(,2)(-\infty, 2)

How is y=32xy = 3^{2x} related to y=3xy = 3^x?

Horizontal compression by factor 12\frac{1}{2}

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