Diagnostic Quiz

1, 2 and 8

1, 4 and 16

0, 4 and 8

1, 2 and 8

y = x²

f(x) = 3x³

$$y=\left(-2\right)^x$$  

f(x) = 3^x

y = -3

y = 1

y = 4

[5,∞)

(5,∞)

[4,∞)

(4,∞)

(-∞,0)

(0,∞)

(-∞,4)

(4,∞)

$$g\left(x\right)=3^x+2$$  

$$g\left(x\right)=3^x-2$$  

$$g\left(x\right)=3^{x-2}$$  

$$g\left(x\right)=3^{x+2}$$  

Shifted up 5

Shifted down 5

Reflection over the x-axis

Reflection over the y-axis

(-2,5)

(0,12)

$$\left(0,\infty\right)$$  

All Real Numbers

Linear

Exponential

Neither

Linear

Exponential

Neither

Linear

Exponential

Nether

Linear

Exponential

Neither

$$y=bx+m$$

$$Ax+By=C$$

$$y_2-y_1=m\left(x_2-x_1\right)$$

$$y=mx+b$$

y-intercept

x-intercept

slope

multiplier

log (x)+2 log (y)

log (x)+log (y²)

log (x) - 2 log (y)

log (x) + log (y) + log (2)

log (x) + log (y)

x log (y)

log (x-y)

log (x) - log (y)

$$\log_4\left(6\right)\ +\ \log_4\left(y\right)$$

$$\log_4\left(6\right)\ -\ \log_4\left(y\right)$$

$$y\log_4\left(6\right)\$$

$$\log_4\left(\frac{6}{y}\right)\$$

$$\log_3\left(8\right)\$$

$$\log_3\left(4\right)$$

$$\log_3\left(12\right)$$

$$\log_3\left(3\right)$$

Domain: x ≥ -4

Range: all real numbers

Domain: all real numbers

Range: y ≥ -4

Domain: all real numbers

Range: y > -4

Domain: x > -4

Range: all real numbers

translation 4 units to the right, 2 units down

translation 4 units to the left, 2 units down

translation 4 units to the up, 2 units right

translation 4 units to the up, 2 units left

left 3, right 1

right 3, down 1

right 3, up 1

left 3, down 1