Functions (exponential and logarithmic)

Which of the following is true about the general form of a logarithmic function,

 $f\left(x\right)=a\log_b\left(x-h\right)+k$  ? Select ALL that apply

• The horizontal asymptote is  $y=k$  

• The vertical asymptote is  $x=h$  

•  $h$  is the horizontal shift

•  $k$  is the vertical shift

•  $a$  reflects the graph over the x-axis if it's negative

What parent function is the graph showing?

• $Y=^3\sqrt{X}$

• $Y=\log_aX$

• $Y=a^x$

• $Y=\frac{1}{x}$

Logarithmic functions have one or more x-intercepts

• True

• False

Find the asymptote of y=log10 (x-6)

• x=0

• y=1

• x=3

• y=0

What is the equation of the asymptote?

• x = -3
• x=3

• y= -3
• y=5

Classify the following graph.

• Exponential Growth

• Exponential Decay

• Logarithmic

• Rational

Find the asymptote of the following: y = log₁₀ (x) - 6

• x=6

• x=-6

• x= 0

• y=0

Which function is represented on the graph?

f(x)=2ln(x+2)

Describe the asymptote

• Horizontal asymptote x = -2

• Horizontal asymptote x = 2

• Vertical asymptote x = -2

• Vertical asymptote x = 2